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What is the missing step in solving the inequality 5-8x<2x+3

1 Answer

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The solution to the inequality is x > 1/6.

The missing step is adding 8x to both sides of the inequality.

Here are the steps to solve the inequality:

Add 8x to both sides:

5 - 8x < 2x + 3

5 - 8x + 8x < 2x + 3 + 8x

5 < 2x + 3 + 8x

Add 2x to both sides:

5 < 2x + 3 + 8x + 2x

5 < 12x + 3

Combine like terms:

5 < 12x + 3

Subtract 3 from both sides:

5 - 3 < 12x + 3 - 3

2 < 12x

Combine like terms:

2 < 12x

Divide both sides by 12:

2 / 12 < 12x / 12

1/6 < x

Therefore, the solution to the inequality is x > 1/6.

Question

What is the missing step in solving the inequality 5 – 8x < 2x + 3? Add 2x to both sides of the inequality. Subtract 8x from both sides of the inequality. Subtract 2x from both sides of the inequality. Add 8x to both sides of the inequality.

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