Problem

Solve the inequality \(3x - 7 > 2x + 5\) and write the solution in interval notation.

Answer

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Answer

Step 3: Convert the inequality to interval notation. The inequality \(x > 12\) corresponds to the interval \((12, \infty)\)

Steps

Step 1 ：Step 1: Subtract \(2x\) from both sides of the inequality to isolate \(x\) on one side: \(x - 7 > 5\)

Step 2 ：Step 2: Add \(7\) to both sides of the inequality to solve for \(x\): \(x > 12\)

Step 3 ：Step 3: Convert the inequality to interval notation. The inequality \(x > 12\) corresponds to the interval \((12, \infty)\)

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