Solving Multi-Step 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

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

a − 6 ≤ 15 + 8a

• a ≤ -3

• a ≥ -3

• a ≤ 3

• a ≥ 3

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Solve the inequality

• x ≤ 2

• x ≤ -2

• x ≥ 2

• x ≥ -2

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Which is a possible solution -8(m + 2) < 4(5 + 2m)

• m = -2

• m = -3

• m = -8

• m > -10

Which number is in the solution set for 6 - 2h > 30

• -12

• -11

• -10

• -13

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

6x + 2 + 6x < 14

Mathematical Equivalence

ON