Multi step inequalities

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

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

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

• a < -3
• a > -3
• a < 3
• a > 3

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0
• k ≤ -1
• k≥ 1
• k≥ 2

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

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

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

• x<24
• x>12
• x<12
• x>24

Solve and graph the inequality.
-169 ≤ 8m - 9

• A
• B
• C
• D