Multi Step Linear Inequality

• k ≤ 56
• k ≥ -35
• k ≤ 35
• k ≥ -56

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400

• 12x + 400 < 1200

• 12x + 400 > 1200

• 12x + 400 < 1200

a − 6 ≤ 15 + 8a

• a ≤ -3

• a ≥ -3

• a ≤ 3

• a ≥ 3

28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

4(2a + 3) < 3(a - 1)

• a < -3

• a > -3

• a < 3

• a > 3

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

14 < -2a + 6 - 2a

• a > -2

• a < -2

• a > 5

• a < -5

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10