To solve the inequality \(3(x + 4) > 2x + 5\), follow these steps: 1. Distribute the 3 on the left side: \[ 3x + 12 > 2x + 5 \] 2. Subtract \(2x\) from both sides: \[ 3x - 2x + 12 > 5 \] This simplifies to: \[ x + 12 > 5 \] 3. Subtract 12 from both sides: \[ x > 5 - 12 \] Which simplifies to: \[ x > -7 \] Thus, the solution to the inequality is: \[ x > -7 \]

3(x+4) >2x+5

1 answer

To solve the inequality \(3(x + 4) > 2x + 5\), follow these steps:

Distribute the 3 on the left side: \[ 3x + 12 > 2x + 5 \]
Subtract \(2x\) from both sides: \[ 3x - 2x + 12 > 5 \] This simplifies to: \[ x + 12 > 5 \]
Subtract 12 from both sides: \[ x > 5 - 12 \] Which simplifies to: \[ x > -7 \]

Thus, the solution to the inequality is: \[ x > -7 \]