Solving Linear Inequalities

Your taxi fare is $2.50 per mile, plus a $5 fee.  You cannot exceed $20.  Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25

• 2x + 10 > 20

• 2x + 10 ≤ 25

• 2x + 10 < 25

Select the correct graph for each inequality.

• A

• B

• C

• D

-7x + 15 ≥ -20

• x ≥ -5

• x ≤ -5

• x ≥ 5

• x ≤ 5

3(x-2)<2(x+9)

• x<24

• x>-24

• x<12

• x>18

8(m + 2)< 4(5 + 2m)

• no solution

• m < -2

• all real numbers

• m > 4

5z - 2 - 2z < 13

• z > 5

• z < 5

• z > 1

• z < 1

-8b - 8 > 56 

• b > 6

• b < -8

• b > -8

• b > 7/2

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Select the correct reason to explain the error made in the problem.

• They did not use inverse operations correctly.

• They did not flip the inequality sign when multiplying by a negative number.

• They did not multiply by the denominator.

• They did not multiply -3 and 15 correctly.