7f + 18 is less than or equal to 4f + 10

Answer 1

To solve the inequality \( 7f + 18 \leq 4f + 10 \), follow these steps:

1. Subtract \( 4f \) from both sides: \[ 7f - 4f + 18 \leq 10 \] This simplifies to: \[ 3f + 18 \leq 10 \]

2. Subtract 18 from both sides: \[ 3f \leq 10 - 18 \] This simplifies to: \[ 3f \leq -8 \]

3. Divide both sides by 3: \[ f \leq -\frac{8}{3} \]

So the solution to the inequality is: \[ f \leq -\frac{8}{3} \]