Solving Two-Step Inequalities No Negatives

y + 7 ≥ 12

• y ≥ 5

• y ≤ 5 

• y ≥ 19 

• y ≤ 19

x − 4 ≤ 6

• x ≤ 10

• x ≥ 10 

• x ≥ 2

• x ≤ 2

126 < f + 32

• f > 94

• f < 96

• f < 94

• f < 55

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

Solve the following inequality for x:

2.5x + 3.75 ≤ 16.25

• x ≤ 5

• x ≥ 5

• x ≤ 8

• x ≥ 8

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Nick had $26.50 to spend at the fair. Admission to the fair was $8.50 and rides cost $1.50 per ticket. Which inequality and solution represents how many ride tickets Nick can purchase?

• 8.50 + 1.50x < 26.50; Nick can purchase more than 12 tickets

• 8.50 + 1.50x > 26.50; Nick can purchase more than 12 tickets

• 8.50 + 1.50x ≤ 26.50; Nick can purchase no more than 12 tickets

• 8.50 + 1.50x ≥ 26.50; Nick can purchase no more than 12 tickets

Solve and graph the solution

x - 41 > 22

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Solve the inequality: x + 5 > 10

• x < 5

• x > 5

• x = 5

• x + 5 < 10

Solve the inequality: 3 + x ≥ 9

• x > 3

• x = 9

• x ≤ 6

• x ≥ 6