Solve and Graph Multi-Step Inequalities

Do I need to flip my sign?
-3x  ≥ 12

• Yes

• No

• x > 39
• x < 6
• x < 13/3
• x > 5/9

• k ≤ 56
• k ≥ -35
• k ≤ 35
• k ≥ -56

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

• x>-4

• x < 17

• x<-4

• x > -17

Solve the inequality.
- 3(9 + x) ≥ - 21

• x ≤ 2

• x ≥ 2

• x ≥ - 2

• x ≤ - 2

Solve. 9 + 4x > 21

• x >-3

• x > 3

• x > 6

• x < 3

28 − k ≥ 7(k − 4)

• k ≥ -7

• k ≤ -7

• k ≥ 7

• k ≤ 7

14 < -2a + 6 - 2a

• a > -2

• a < -2

• a > 5

• a < -5

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

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