4 years ago

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

Mathematics

2 answers:

Lena [83]4 years ago

6 0

4(x - 3) + 4 < 10 + 6x
4x - 12 + 4 < 10 + 6x
4x - 8 < 10 + 6x
-2x < 18
x > 9

Answer: x > 9

frez [133]4 years ago

3 0

Hello!

You can solve this algebraically

4(x - 3) + 4 < 10 + 6x

Distribute the 4

4x - 12 + 4 < 10 + 6x

Combine like terms

4x - 8 < 10 + 6x

Subtract 4x from both sides

-8 < 10 + 2x

Subtract 10 from both sides

-18 < 2x

Divide both sides by 2

-9 < x

The answer is x > -9

Hope this helps!

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