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