Mastering Inequalities

Mastering Inequalities

9th Grade

15 Qs

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Mastering Inequalities

Mastering Inequalities

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

To solve the inequality 4x + 7 < 3x + 10, subtract 3x from both sides to get x + 7 < 10. Then, subtract 7 from both sides to find x < 3. Thus, the correct answer is x < 3.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

To solve the compound inequality -3 < x + 2 ≤ 5, subtract 2 from all parts: -5 < x ≤ 3. This matches the correct choice: -5 < x ≤ 3.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

To solve the inequality x - 5 > 2x - 3, first rearrange it to x < 8. Thus, the correct choice is x < 8.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution set for the inequality x^2 - 5x + 6 < 0?

(1, 2)

(2, 3)

(3, 4)

(-1, 0)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

On a number line, where would you shade for the solution of x^2 + 3x < 10?

Shade the interval (-5, 2) on the number line.

Shade the interval (-10, -5) on the number line.

Shade the interval (-3, 0) on the number line.

Shade the interval (2, 5) on the number line.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the intervals where the inequality x^2 - 2x - 3 ≤ 0 holds true.

[0, 2]

[3, 5]

[-2, 0]

[-1, 3]

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Using a number line, represent the solution set for the inequality x^2 - 1 ≥ 0.

(-∞, 1) ∪ (1, ∞)

The solution set is represented on the number line as: (-∞, -1] ∪ [1, ∞).

[-1, 1]

[-1, ∞)

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