Solving/Interpreting Linear Inequalities in One Variable

Solve the inequality:

–2x > –10

• x > 5

• x < 5

• x > –5

• x < –5

Solve the inequality:

3(x – 1) ≥ –9

• x ≥ –2

• x ≥ 2

• x ≤ –2

• x ≤ 2

Graph the solution set of the inequality.

–4n + 1 > –23

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Graph the solution set of the inequality.

–4a ≤ –28

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Solve the inequality:

2x + 5 > 2x + 8

• x > 3

• x > –3

• Infinite Solutions

• No Solution

Solve the inequality:

3(n + 1) ≤ 3n + 4

• n ≤ 1

• n ≤ –1

• Infinite Solutions

• No Solution

Graph the solution set of the inequality.

2n + 4 < 16

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Solve the inequality:

4n – 5 < 4(n – 2) + 9

• n < 6

• n < 4

• Infinite Solutions

• No Solution

Solve the inequality:

10 – 2x ≥ –4

• x ≥ –7

• x ≤ 7

• x ≥ 7

• x ≤ –7

Solve the inequality:

–3x + 1 ≤ 13

• x ≤ –4

• x ≥ –4

• x ≥ 15

• x ≤ 15