On Step Inequalities

Solve and graph the inequality.

-169 ≤ 8m - 9

• A

• B

• C

• D

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Determine which situation can be represented by the inequality and then solve.

6x + 10 ≤ 100?

• Lazer Zone charges $10 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag? She can invite no more than 15 friends.

• Lazer Zone charges $6 plus $10 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag? She can invite 9 or more friends.

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

• x ≥ 48

• x ≤ 48

• x ≥ 24

• x ≤ 24

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

14 < -2a + 6 - 2a

• a > -2

• a < -2

• a > 2

• a < 2

5z - 2 - 2z < 13

• z > 5

• z < 5

• z > 1

• z < 1

6(n + 2) < -72

• n < -14

• n < 35/3

• n < -10

• n > -14

Solve.

• a < 6

• a > 6

• a > -6

• a < -6

-12x + 5 < -10

• open

• closed

• Cannot be determined