AnswersFL-1200700-Mathematics for College Algebra MISSolving One-Variable Inequalities

Solving One-Variable Inequalities Answers

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1
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Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Question illustration
A
A number line from negative 7 to 7 in increments of 1. A point is at negative 5 and a bold line starts at negative 5 and is pointing to the right.
Option A
B
A number line from negative 7 to 7 in increments of 1. A point is at 5 and a bold line starts at 5 and is pointing to the right.
Option B
C
A number line from negative 7 to 7 in increments of 1. A point is at 5 and a bold line starts at 5 and is pointing to the left.
Option C
D
A number line from negative 7 to 7 in increments of 1. A point is at negative 5 and a bold line starts at negative 5 and is pointing to the right.
Option D
2
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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Question illustration
A
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 A
B
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 B
C
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 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
3

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
4

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.
5

Solve the inequality.2(4+2x)≥5x+5

x
x≤−2
x
x≥−2
x
x≤3
x
x≥3
6

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

A
–10
B
–5
C
5
D
10
7

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

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

A
–10
B
–9
C
–8
D
–7
9

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
10

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

A
–1
B
0
C
3
D
5

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Solving One-Variable Inequalities Answers —…