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Inequalities Quest

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Inequalities Quest

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About this activity

Inequality problems to solve

Created by

JOCELYN AMOYO
JOCELYN AMOYO
Philippines

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Inequalities Quest
 

Inequalities QuestOnline version

Inequality problems to solve

by JOCELYN AMOYO
1

Solve 2x - 5 > 7. What is x?

2

If -3x ≤ 12, which is x?

3

Solve |x - 4| < 2. x must be in which range?

4

5 - 2y > 1. What is y?

5

7 - 4|x| ≤ -1. Which is correct?

6

Solve x/3 + 4 > 0. What is x?

7

-2 ≤ 3x - 5 < 4. Find the range for x.

8

Solve x^2 < 9. Which interval(s) for x?

9

3|x - 1| ≥ 6. What are x values?

10

2 - x ≤ 4. Which x satisfies?

Feedback

Add 5 to both sides, then divide by 2; flip not needed since positive.

Divide both sides by -3, reverse the inequality sign.

Absolute value less than 2 gives a tight interval around 4.

Subtract 5 and divide by -2, flipping the sign.

Move terms to isolate |x| and compare to 2.

Subtract 4, then multiply by 3, keeping the sign.

Apply both sides separately: -2 ≤ 3x-5 and 3x-5 < 4.

Square root bound gives interior interval.

Divide by 3 and solve |x-1| ≥ 2.

Subtract 2, then multiply by -1 (flip sign) to get x ≥ -2.

 
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