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Solve 6(x + 1) > 2x - 1

Question

Solve 6(x + 1) > 2x - 1

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Solution

To solve the inequality 6(x + 1) > 2x - 1, we will follow these steps:

Step 1: Distribute the 6 on the left side of the inequality: 6x + 6 > 2x - 1

Step 2: Combine like terms on both sides of the inequality: 6x - 2x > -1 - 6 4x > -7

Step 3: Divide both sides of the inequality by 4 to isolate the variable x: (4x)/4 > (-7)/4 x > -7/4

Therefore, the solution to the inequality 6(x + 1) > 2x - 1 is x > -7/4.

This problem has been solved

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