Solving One-Variable Inequalities Answers

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4

What is the solution to the inequality + 4 ≤ 0?

Question illustration
A
(–∞, –28)
B
(–∞, –28]
C
(28, ∞)
D
[28, ∞)
7

The solution to an inequality is graphed on the number line.

Question illustration
A
{x | x < 4.5}
B
{x | x ≤ 4.5}
C
{x | x > 4.5}
D
{x | x ≥ 4.5}
8

The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.{n | n < 3}{n | n ≥ 3}(3, ∞)

Question illustration
A
{n | n < 3}
B
{n | n ≥ 3}
C
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.
Option C
D
A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
Option D
E
(3, ∞)
9

What is the best first step to solve the inequality 5x – 3 ≥ 2?

A
Add 3 to both sides of the equation.
B
Subtract 3 from both sides of the equation.
C
Add 2 to both sides of the equation.
D
Subtract 2 from both sides of the equation.
10

Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p < 5.

A
Mrs. Valdez can take –2 people because –2 < 5.
B
Mrs. Valdez can take 2 people because 2 < 5.
C
Mrs. Valdez can take 3.5 people because 3.5 < 5.
D
Mrs. Valdez can take 5 people because 5 < 5.

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