Multi-Step Linear Inequalities

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

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

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 for x
2x−32<15

• 47

• 23.7

• 23.5

• 4

What is the solution set for
9x - 1 > 71

• x > 8

• x < 5

• x > -3

• x < -7

-3 − 6(4x + 6) > -111

• x > 3

• x < 3

• x < -3

• x > -3

3x − (2 + 6x) ≤ -32

• x ≥ 10

• x< -10

• x ≥ -10

• All real numbers

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2

The functions f(x) = 2 + 2 and g(x) = + 2 are graphed on the coordinate plane below. For what x-values is g(x) < f(x)?

• x > 4

• x > 2

• 0 < x < 2 and x > 4

• 2 < x < 4