5 + 4x is greater thsn or equal to x + 8

Answer 1

To solve the inequality \( 5 + 4x \geq x + 8 \), follow these steps:

1. Subtract \( x \) from both sides:
   \[ 5 + 4x - x \geq 8 \] This simplifies to: \[ 5 + 3x \geq 8 \]

2. Subtract 5 from both sides:
   \[ 3x \geq 8 - 5 \] This simplifies to: \[ 3x \geq 3 \]

3. Divide both sides by 3:
   \[ x \geq 1 \]

Thus, the solution to the inequality \( 5 + 4x \geq x + 8 \) is: \[ x \geq 1 \]