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Solve 2(5x + 6) < x – 15 + 9x.

User Horseyguy
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1 Answer

7 votes

Answer: No solutions.

Explanation:

We will solve the given inequality for x. However, you will see that this is impossible.

Given:

2(5x + 6) < x - 15 + 9x

Distribute the left side:

10x + 12 < x - 15 + 9x

Combine like terms on the right side:

10x + 12 < 10x - 15

Subtract 12 from both sides of the inequality:

10x < 10x -27

Subtract 10x from both sides of the inequality:

0 < -27 ✗

There are no solutions to this inequality, it is a contradiction.

User Maneesh
by
8.1k points

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