Multi-Step Inequalities Compound Inequalities

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y

• y ≤ ½
• y ≤ 2
• y ≥ ½
• y ≥ 2

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

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

• x<24
• x>12
• x<12
• x>24

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

• a<-3
• a>-3
• a<3
• a>3

• a ≥ 4
• a ≥ -4
• a ≤ 4
• a ≤ -4

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

9 ≥ -2m + 2 − 3

• m ≤ 5
• m ≤ -5
• m ≥ -5
• m ≥ 5

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

-p − 4p > -10

• p > -2
• p > 2
• p < -2
• p < 2