Graphing One-Step and Two-Step Inequalities

Solve the inequality

Solve
8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

x − 4 ≤ 6

• x ≤ 10

• x ≥ 10 

• x ≥ 2

• x ≤ 2

7n > 49

• n > 7

• n < 7

• n > 343

• n < 343

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ 3

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

• x - 134 < 400

• x + 134 < 400

• x - 134 ≤ 400

• x + 134 ≤ 400

Solve.

• z≤1

• z>9

• z≤9

• z<9

What are two solutions to x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

Which inequality is represented by this graph?

•  2.75 > d

• 2.75 < d

• 2.75 ≥ d

• 2.75 ≤ d