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36 votes
36 votes
2.Solve the inequality for x. Show each step to the solution.12x > 3(5x – 2) – 15

2.Solve the inequality for x. Show each step to the solution.12x > 3(5x – 2) – 15-example-1
User David De Sloovere
by
2.6k points

1 Answer

14 votes
14 votes

we have the inequality

12x > 3(5x-2)-15

step 1

apply distributive property right side

12x > 15x-6-15

combine like terms right side

12x > 15x-21

step 2

Adds both sides 21

12x+21 > 15x-21+21

simplify

12x+21 > 15x

step 3

subtract 12x both sides

12x+21-12x > 15x-12x

21 > 3x

step 4

Divide by 3 both sides

21/3 > 3x/3

7 > x

Rewrite

x < 7

User Ansgar Wiechers
by
2.4k points
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