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Solving One-Variable Inequalities Answers

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What value of x is in the solution set of the inequality –5x – 15 > 10 + 20x?

A
–2
B
–1
C
0
D
1
2
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Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options.

Question illustration
A
1 ≥ 2x
B
6x ≥ 3 + 8x – 4
C
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
Option C
D
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Option D
E
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
Option E
3

What value of x is in the solution set of the inequality 2(3x – 1) ≥ 4x – 6?

A
–10
B
–5
C
–3
D
–1
4

What value of x is in the solution set of the inequality 8x – 6 > 12 + 2x?

A
–1
B
0
C
3
D
5
5

Solve the inequality.2(4+2x)≥5x+5

A
x≤−2
B
x≥−2
C
x≤3
D
x≥3
6

What value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18?

A
–4
B
–3
C
–2
D
–1
7

Which number line represents the solution set for the inequality –x ≥ 4?

Question illustration
A
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.
Option A
B
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.
Option B
C
A number line from negative 10 to 10 in increments of 2. A point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.
Option C
D
A number line from negative 10 to 10 in increments of 2. A point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.
Option D
8

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

A
–10
B
–5
C
5
D
10
9

Step 1: Subtract 3 from both sides of the inequality.Step 2: __________Step 3: Divide both sides of the inequality by the coefficient of x.

A
Add 2x to both sides of the inequality.
B
Subtract 8x from both sides of the inequality.
C
Subtract 2x from both sides of the inequality.
D
Add 8x to both sides of the inequality.
10

What value of x is in the solution set of the inequality 4x – 12 ≤ 16 + 8x?

A
–10
B
–9
C
–8
D
–7

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