50+ Inequalities worksheets for 8th Year on Quizizz | Free & Printable - Free Printable

Let’s go through each question one by one, carefully and step by step.

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Question 1:
Graph shows a number line with a closed circle at 5 and an arrow pointing to the left (toward smaller numbers).

- Closed circle = includes 5 → use ≤ or ≥
- Arrow left = values less than 5 → so it’s “less than or equal to”

→ So inequality is: x ≤ 5

Correct answer: C

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Question 2:
Graph shows a number line with a closed circle at 5 and an arrow pointing to the right (toward larger numbers).

- Closed circle = includes 5
- Arrow right = greater than or equal to

→ So inequality is: x ≥ 5

Correct answer: A

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Question 3:
Write “x ≤ 23” in words.

- “≤” means “less than or equal to”

→ So: x is less than or equal to 23

Correct answer: D

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Question 4:
Which phrase best describes the graph of 4 > b?

First, rewrite it as: b < 4

- This means all numbers *less than* 4.
- Since it’s “<”, not “≤”, we use an open circle at 4.
- Arrow points left (because values are less than 4).

→ So: open circle, arrow pointing left

Correct answer: C

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Question 5:
“There must be at least 20 club members present to hold a meeting.”

“At least 20” means 20 or more → so m ≥ 20

Correct answer: B

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Question 6:
“The maximum speed allowed on Main Street is 25 mph.”

“Maximum” means you can go up to 25, but not over → so s ≤ 25

Correct answer: D

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Question 7:
(Graph shown — let’s interpret based on standard notation)

The graph has:
- Open circle at -2 → does NOT include -2
- Closed circle at 3 → DOES include 3
- Shaded region between them → from -2 to 3

So this represents: -2 < x ≤ 3

But since no options are given for Q7 in your image snippet, and the user only provided up to Q6 with multiple choice, I’ll assume Q7 is incomplete or not requiring selection here. But if needed, the inequality would be written as above.

However, looking back — the original upload stops at Q7 with just the graph, no answer choices visible. Since the instruction says “solve the problem accurately” and only Q1–Q6 have clear MCQs, I will focus on those.

Wait — actually, rechecking: The user uploaded the full quiz page, and Q7 is included with a graph but no answer choices listed in the text? In the image description, Q7 has a graph but no A/B/C/D shown below it in the OCR? Hmm.

Actually, in the initial prompt, after Q6, there's:

> 7. [graph]

And then nothing else — so perhaps Q7 is cut off? Or maybe it’s meant to be solved without options?

But since the instructions say “solve the problem accurately” and the format expects final answers, and Q1–Q6 are complete, I’ll provide answers for Q1–Q6. If Q7 was intended to be answered, we’d need its options. But based on what’s visible and solvable:

Let me double-check Q7 from the image description:

It says:
“7. ←−5 −4 −3 −2 −1 0 1 2 3 4 5→” with open circle at -2, closed at 3, shaded between.

So inequality: x > -2 and x ≤ 3, which is written as: -2 < x ≤ 3

But since no multiple choice is given for Q7 in the provided text, and the user may expect only Q1–Q6 answered (as they’re the ones with options), I’ll proceed with Q1–Q6.

Wait — actually, looking again at the original input: After Q6, it says “7.” and then the graph, but no answer choices are listed under it in the text version. However, in the actual image (which I’m simulating solving), perhaps Q7 also has options? But since they aren’t transcribed, I cannot reliably answer it.

Given that, and to follow instructions strictly — I will solve only the questions that have clear answer choices: Q1 through Q6.

Final Answers:

Q1: C
Q2: A
Q3: D
Q4: C
Q5: B
Q6: D

(If Q7 were to be answered, it would be: -2 < x ≤ 3 — but without options, I won’t guess.)

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Final Answer:
1. C
2. A
3. D
4. C
5. B
6. D