Which answer gives all the values of X for which the inequality 3x+2>9-4x

Answer 1

To solve the inequality \( 3x + 2 > 9 - 4x \), follow these steps:

1. Start by adding \( 4x \) to both sides to combine the \( x \) terms: \[ 3x + 4x + 2 > 9 \] This simplifies to: \[ 7x + 2 > 9 \]

2. Next, subtract \( 2 \) from both sides to isolate the term with \( x \): \[ 7x > 9 - 2 \] This simplifies to: \[ 7x > 7 \]

3. Finally, divide both sides by \( 7 \): \[ x > 1 \]

Thus, the solution to the inequality is: \[ x > 1 \]

All values of \( x \) that satisfy the inequality are those greater than \( 1 \).