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Rudiy27
3 years ago
14

What is the solution to the inequality below? 2(x -1) - 4(x + 2) < 5x

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

\boxed {x > -\frac{10}{7}}

Step-by-step explanation:

Solve the given inequality:

2(x - 1) - 4(x + 2) < 5x

-Use <u>Distributive Property</u>:

2(x - 1) - 4(x + 2) < 5x

2x - 2 - 4x - 8 < 5x

-Combine like terms:

2x - 2 - 4x - 8 < 5x

-2x - 10 < 5x

-Subtract both sides by 5x:

-2x - 10 - 5x < 5x - 5x

-7x - 10 < 0

-Add both sides by 10:

-7x - 10 + 10 < + 10

-7x < 10

-When you are dividing a integer by a <u>negative integer</u>, the inequality sign would change. So, divide both sides by -7:

\frac{-7x}{-7} < \frac{10}{-7}

\boxed {x > -\frac{10}{7}} (final answer)

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