Inequalities worksheet with examples, practice questions, and video links from Corbettmaths.

You've uploaded an image containing a worksheet on Inequalities from Corbettmaths. Let’s solve Question 1 and Question 2 step by step, since Question 3 is cut off (incomplete). I’ll explain each part clearly.

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## ✔ Question 1: Write out the following with either an < or > symbol

We are comparing two numbers and choosing the correct inequality symbol.

> Remember:
> - `>` means “greater than”
> - `<` means “less than”

Let’s go one by one:

(a) 8 □ 6
→ 8 is greater than 6 → 8 > 6

(b) 2 □ 3
→ 2 is less than 3 → 2 < 3

(c) 7 □ 10
→ 7 is less than 10 → 7 < 10

(d) 5 □ 0
→ 5 is greater than 0 → 5 > 0

(e) 4 □ -1
→ 4 is greater than -1 → 4 > -1

(f) -4 □ 6
→ -4 is less than 6 → -4 < 6

(g) 9 □ 9.4
→ 9 is less than 9.4 → 9 < 9.4

(h) 0 □ -1
→ 0 is greater than -1 → 0 > -1

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✔ Final Answers for Question 1:

(a) 8 > 6
(b) 2 < 3
(c) 7 < 10
(d) 5 > 0
(e) 4 > -1
(f) -4 < 6
(g) 9 < 9.4
(h) 0 > -1

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## ✔ Question 2: Write down an inequality for each of the following

We need to translate English phrases into mathematical inequalities.

> Remember:
> - “greater than” → `>`
> - “less than” → `<`
> - “greater than or equal to” → `≥`
> - “less than or equal to” → `≤`

Let’s solve each:

(a) x is greater than 8
→ x > 8

(b) x is less than 3
→ x < 3

(c) x is less than or equal to 1
→ x ≤ 1

(d) x is greater than or equal to 0
→ x ≥ 0

(e) x is less than 7
→ x < 7

(f) x is greater than or equal to -2
→ x ≥ -2

(g) x is less than or equal to -10
→ x ≤ -10

(h) x is greater than 5
→ x > 5

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✔ Final Answers for Question 2:

(a) x > 8
(b) x < 3
(c) x ≤ 1
(d) x ≥ 0
(e) x < 7
(f) x ≥ -2
(g) x ≤ -10
(h) x > 5

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## 📝 Summary

This worksheet is great for practicing basic inequality symbols and translating word phrases into math expressions. You’re building foundational skills for algebra!

If you want me to help with Question 3 (which appears to be cut off), please upload the rest or type it out — I’d be happy to continue!

Let me know if you’d like practice problems or video explanations (as referenced in the image: Videos 176, 177 on Corbettmaths).