Independent Practice 1: Box and Whisker Plot Worksheet for 9th ... - Free Printable
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Step-by-step solution for: Independent Practice 1: Box and Whisker Plot Worksheet for 9th ...
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Show Answer Key & Explanations
Step-by-step solution for: Independent Practice 1: Box and Whisker Plot Worksheet for 9th ...
To solve this worksheet, we need to find the union ($A \cup B$) and the intersection ($A \cap B$) for each pair of sets.
Here is a quick reminder of what these symbols mean:
* Union ($\cup$): Combine all the numbers from both sets into one big list. Do not repeat any numbers. It's like putting two piles of cards together.
* Intersection ($\cap$): Look for numbers that appear in both sets at the same time. If a number isn't in both, it doesn't count. It's like finding the matching pairs.
Let's go through them step-by-step.
1. Sets: $A = \{2, 4, 6\}$, $B = \{1, 3, 5\}$
* Union: Combine $\{2, 4, 6\}$ and $\{1, 3, 5\}$. Order them: $1, 2, 3, 4, 5, 6$.
* Intersection: Are there any numbers in both? No. $A$ has evens, $B$ has odds. The intersection is empty.
2. Sets: $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$
* Union: Combine them: $1, 2, 3, 4, 5, 6$. (3 and 4 are in both, so we just write them once).
* Intersection: Which numbers are in both lists? $3$ and $4$.
3. Sets: $A = \{10, 20, 30\}$, $B = \{20, 30, 40\}$
* Union: Combine: $10, 20, 30, 40$.
* Intersection: Both have $20$ and $30$.
4. Sets: $A = \{a, b, c\}$, $B = \{c, d, e\}$
* Union: Combine: $a, b, c, d, e$.
* Intersection: Only $c$ is in both.
5. Sets: $A = \{1, 3, 5, 7\}$, $B = \{2, 4, 6, 8\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8$.
* Intersection: No common numbers (odds vs evens). Empty set.
6. Sets: $A = \{x, y, z\}$, $B = \{w, x, y\}$
* Union: Combine: $w, x, y, z$.
* Intersection: $x$ and $y$ are in both.
7. Sets: $A = \{2, 4, 6, 8, 10\}$, $B = \{5, 10, 15, 20\}$
* Union: Combine: $2, 4, 5, 6, 8, 10, 15, 20$.
* Intersection: Only $10$ is in both.
8. Sets: $A = \{1, 2, 3\}$, $B = \{1, 2, 3\}$
* Union: Combine: $1, 2, 3$.
* Intersection: All of them ($1, 2, 3$) are in both.
9. Sets: $A = \{red, blue\}$, $B = \{green, yellow\}$
* Union: Combine: $red, blue, green, yellow$.
* Intersection: No matches. Empty set.
10. Sets: $A = \{1, 2, 3, 4, 5\}$, $B = \{4, 5, 6, 7, 8\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8$.
* Intersection: $4$ and $5$ are in both.
11. Sets: $A = \{10, 20, 30, 40\}$, $B = \{30, 40, 50, 60\}$
* Union: Combine: $10, 20, 30, 40, 50, 60$.
* Intersection: $30$ and $40$ are in both.
12. Sets: $A = \{a, b, c, d\}$, $B = \{d, e, f, g\}$
* Union: Combine: $a, b, c, d, e, f, g$.
* Intersection: Only $d$ is in both.
13. Sets: $A = \{2, 3, 5, 7\}$, $B = \{3, 5, 7, 11\}$
* Union: Combine: $2, 3, 5, 7, 11$.
* Intersection: $3, 5,$ and $7$ are in both.
14. Sets: $A = \{1, 4, 9, 16\}$, $B = \{4, 9, 16, 25\}$
* Union: Combine: $1, 4, 9, 16, 25$.
* Intersection: $4, 9,$ and $16$ are in both.
15. Sets: $A = \{p, q, r\}$, $B = \{s, t, u\}$
* Union: Combine: $p, q, r, s, t, u$.
* Intersection: No matches. Empty set.
16. Sets: $A = \{1, 2, 3, 4, 5, 6\}$, $B = \{4, 5, 6, 7, 8, 9\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8, 9$.
* Intersection: $4, 5,$ and $6$ are in both.
17. Sets: $A = \{10, 20, 30, 40, 50\}$, $B = \{30, 40, 50, 60, 70\}$
* Union: Combine: $10, 20, 30, 40, 50, 60, 70$.
* Intersection: $30, 40,$ and $50$ are in both.
18. Sets: $A = \{x, y, z, w\}$, $B = \{w, v, u, t\}$
* Union: Combine: $t, u, v, w, x, y, z$.
* Intersection: Only $w$ is in both.
---
Final Answer:
1.
$A \cup B = \{1, 2, 3, 4, 5, 6\}$
$A \cap B = \emptyset$ (or $\{\}$)
2.
$A \cup B = \{1, 2, 3, 4, 5, 6\}$
$A \cap B = \{3, 4\}$
3.
$A \cup B = \{10, 20, 30, 40\}$
$A \cap B = \{20, 30\}$
4.
$A \cup B = \{a, b, c, d, e\}$
$A \cap B = \{c\}$
5.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8\}$
$A \cap B = \emptyset$
6.
$A \cup B = \{w, x, y, z\}$
$A \cap B = \{x, y\}$
7.
$A \cup B = \{2, 4, 5, 6, 8, 10, 15, 20\}$
$A \cap B = \{10\}$
8.
$A \cup B = \{1, 2, 3\}$
$A \cap B = \{1, 2, 3\}$
9.
$A \cup B = \{red, blue, green, yellow\}$
$A \cap B = \emptyset$
10.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8\}$
$A \cap B = \{4, 5\}$
11.
$A \cup B = \{10, 20, 30, 40, 50, 60\}$
$A \cap B = \{30, 40\}$
12.
$A \cup B = \{a, b, c, d, e, f, g\}$
$A \cap B = \{d\}$
13.
$A \cup B = \{2, 3, 5, 7, 11\}$
$A \cap B = \{3, 5, 7\}$
14.
$A \cup B = \{1, 4, 9, 16, 25\}$
$A \cap B = \{4, 9, 16\}$
15.
$A \cup B = \{p, q, r, s, t, u\}$
$A \cap B = \emptyset$
16.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$
$A \cap B = \{4, 5, 6\}$
17.
$A \cup B = \{10, 20, 30, 40, 50, 60, 70\}$
$A \cap B = \{30, 40, 50\}$
18.
$A \cup B = \{t, u, v, w, x, y, z\}$
$A \cap B = \{w\}$
Here is a quick reminder of what these symbols mean:
* Union ($\cup$): Combine all the numbers from both sets into one big list. Do not repeat any numbers. It's like putting two piles of cards together.
* Intersection ($\cap$): Look for numbers that appear in both sets at the same time. If a number isn't in both, it doesn't count. It's like finding the matching pairs.
Let's go through them step-by-step.
Step-by-Step Solutions
1. Sets: $A = \{2, 4, 6\}$, $B = \{1, 3, 5\}$
* Union: Combine $\{2, 4, 6\}$ and $\{1, 3, 5\}$. Order them: $1, 2, 3, 4, 5, 6$.
* Intersection: Are there any numbers in both? No. $A$ has evens, $B$ has odds. The intersection is empty.
2. Sets: $A = \{1, 2, 3, 4\}$, $B = \{3, 4, 5, 6\}$
* Union: Combine them: $1, 2, 3, 4, 5, 6$. (3 and 4 are in both, so we just write them once).
* Intersection: Which numbers are in both lists? $3$ and $4$.
3. Sets: $A = \{10, 20, 30\}$, $B = \{20, 30, 40\}$
* Union: Combine: $10, 20, 30, 40$.
* Intersection: Both have $20$ and $30$.
4. Sets: $A = \{a, b, c\}$, $B = \{c, d, e\}$
* Union: Combine: $a, b, c, d, e$.
* Intersection: Only $c$ is in both.
5. Sets: $A = \{1, 3, 5, 7\}$, $B = \{2, 4, 6, 8\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8$.
* Intersection: No common numbers (odds vs evens). Empty set.
6. Sets: $A = \{x, y, z\}$, $B = \{w, x, y\}$
* Union: Combine: $w, x, y, z$.
* Intersection: $x$ and $y$ are in both.
7. Sets: $A = \{2, 4, 6, 8, 10\}$, $B = \{5, 10, 15, 20\}$
* Union: Combine: $2, 4, 5, 6, 8, 10, 15, 20$.
* Intersection: Only $10$ is in both.
8. Sets: $A = \{1, 2, 3\}$, $B = \{1, 2, 3\}$
* Union: Combine: $1, 2, 3$.
* Intersection: All of them ($1, 2, 3$) are in both.
9. Sets: $A = \{red, blue\}$, $B = \{green, yellow\}$
* Union: Combine: $red, blue, green, yellow$.
* Intersection: No matches. Empty set.
10. Sets: $A = \{1, 2, 3, 4, 5\}$, $B = \{4, 5, 6, 7, 8\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8$.
* Intersection: $4$ and $5$ are in both.
11. Sets: $A = \{10, 20, 30, 40\}$, $B = \{30, 40, 50, 60\}$
* Union: Combine: $10, 20, 30, 40, 50, 60$.
* Intersection: $30$ and $40$ are in both.
12. Sets: $A = \{a, b, c, d\}$, $B = \{d, e, f, g\}$
* Union: Combine: $a, b, c, d, e, f, g$.
* Intersection: Only $d$ is in both.
13. Sets: $A = \{2, 3, 5, 7\}$, $B = \{3, 5, 7, 11\}$
* Union: Combine: $2, 3, 5, 7, 11$.
* Intersection: $3, 5,$ and $7$ are in both.
14. Sets: $A = \{1, 4, 9, 16\}$, $B = \{4, 9, 16, 25\}$
* Union: Combine: $1, 4, 9, 16, 25$.
* Intersection: $4, 9,$ and $16$ are in both.
15. Sets: $A = \{p, q, r\}$, $B = \{s, t, u\}$
* Union: Combine: $p, q, r, s, t, u$.
* Intersection: No matches. Empty set.
16. Sets: $A = \{1, 2, 3, 4, 5, 6\}$, $B = \{4, 5, 6, 7, 8, 9\}$
* Union: Combine: $1, 2, 3, 4, 5, 6, 7, 8, 9$.
* Intersection: $4, 5,$ and $6$ are in both.
17. Sets: $A = \{10, 20, 30, 40, 50\}$, $B = \{30, 40, 50, 60, 70\}$
* Union: Combine: $10, 20, 30, 40, 50, 60, 70$.
* Intersection: $30, 40,$ and $50$ are in both.
18. Sets: $A = \{x, y, z, w\}$, $B = \{w, v, u, t\}$
* Union: Combine: $t, u, v, w, x, y, z$.
* Intersection: Only $w$ is in both.
---
Final Answer:
1.
$A \cup B = \{1, 2, 3, 4, 5, 6\}$
$A \cap B = \emptyset$ (or $\{\}$)
2.
$A \cup B = \{1, 2, 3, 4, 5, 6\}$
$A \cap B = \{3, 4\}$
3.
$A \cup B = \{10, 20, 30, 40\}$
$A \cap B = \{20, 30\}$
4.
$A \cup B = \{a, b, c, d, e\}$
$A \cap B = \{c\}$
5.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8\}$
$A \cap B = \emptyset$
6.
$A \cup B = \{w, x, y, z\}$
$A \cap B = \{x, y\}$
7.
$A \cup B = \{2, 4, 5, 6, 8, 10, 15, 20\}$
$A \cap B = \{10\}$
8.
$A \cup B = \{1, 2, 3\}$
$A \cap B = \{1, 2, 3\}$
9.
$A \cup B = \{red, blue, green, yellow\}$
$A \cap B = \emptyset$
10.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8\}$
$A \cap B = \{4, 5\}$
11.
$A \cup B = \{10, 20, 30, 40, 50, 60\}$
$A \cap B = \{30, 40\}$
12.
$A \cup B = \{a, b, c, d, e, f, g\}$
$A \cap B = \{d\}$
13.
$A \cup B = \{2, 3, 5, 7, 11\}$
$A \cap B = \{3, 5, 7\}$
14.
$A \cup B = \{1, 4, 9, 16, 25\}$
$A \cap B = \{4, 9, 16\}$
15.
$A \cup B = \{p, q, r, s, t, u\}$
$A \cap B = \emptyset$
16.
$A \cup B = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$
$A \cap B = \{4, 5, 6\}$
17.
$A \cup B = \{10, 20, 30, 40, 50, 60, 70\}$
$A \cap B = \{30, 40, 50\}$
18.
$A \cup B = \{t, u, v, w, x, y, z\}$
$A \cap B = \{w\}$
Parent Tip: Review the logic above to help your child master the concept of box and whisker plot worksheet 1.
