Interpreting Linear Inequalities in One Variable

Solve:

7(x + 3) < 5x + 13

Show your work on paper!! Then select the correct answer.

• x>-4

• x < 17

• x<-4

• x > -17

• n < 7
• n > 13
• n < 8
• n > 15

Solve for x:

2(x - 5) ≥ 5x - 3x -11

• no solution

• x ≥ 3.5

• Infinite solutions/All real numbers

• x ≥ 1.5

Solve the inequality. Put your answer in interval form:

• x ≥ − 1

• x ≤ - 1

• x > 9

• x < -3

Find the solution set for the inequality: 2(x + 1) ≤ 3x - 4

• x ≤ 6

• x > 10

• x = 5

• x ≥ 8

What is your first step in solving this inequality?

• Subtract 8n on both sides

• Combine 8n and -6n

• Add 6n on both sides

5z - 2z - 2 < 13

• z > 5

• z < 5

• z > 1

• z < 1

What is the solution to 2x + 8 > 3x - 6?

• Step 1

• Step 2

• Step 3

• Step 4