Mastering Inequalities

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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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