Question

Solve 2(5x + 6) < x – 15 + 9x.

options:
A) x < 12
B) All real numbers
C) There's no solution.
D) x < –15

Answer 1

Inequalities

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Let's solve the problem given to us today! The problem is the following:

`\mapsto\quad\bf{2(5x+6) < x-15+9x}`

We need to solve for x.

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To solve for x, isolate it on one side of the inequality.

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Combine like terms:
`\bf{2(5x+6) < 10x-15}`

Distribute 2:
`\bf{10x+12 < 10x-15}`

Subtract 10x from both sides:
`\bf{10x-10x+12 < -15}`

Simplify:
`\bf{0x+12 < -15}`

Simplify completely.
`\bf{12 < -15}`

The statement is false; no value of x will ever make this inequality true. Therefore, this equation has no solution.

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