algebra

Question

Solving Multi-Step Inequalities

Solve the inequality 2p - 3(4p - 6)   > - 2p - 4.

Answer 1

2p- 3(4p- 6) > - 2p- 4

2p -12p+18 > - 2p- 4

Apply addition property,add 2p to each side.

2p-12p+2p+18 >- 2p+ 2p- 4

-8p+18 >-4

Apply subtraction property,subtract 18 from each side.

-8p+18-18 >-4-18

-8p > -22

Apply division property,divide by 8 to each side.

-8p/8 >-22/8

-p >- 22/8

Apply multiplication property,multiple by negitive one and change the inequality symbol.

p < 22/8

P < 2.75

Comments

The solution set is {p | p < 2.75}.