To solve the inequality \( \frac{3x}{2} \leq 4 \), follow these steps: 1. Multiply both sides by 2 to eliminate the fraction: \[ 3x \leq 8 \] 2. Divide both sides by 3: \[ x \leq \frac{8}{3} \] So, the solution to the inequality is: \[ x \leq \frac{8}{3} \] In interval notation, this can be expressed as: \[ (-\infty, \frac{8}{3}] \]

3x/2 <= 4

1 answer

To solve the inequality \( \frac{3x}{2} \leq 4 \), follow these steps:

Multiply both sides by 2 to eliminate the fraction: \[ 3x \leq 8 \]
Divide both sides by 3: \[ x \leq \frac{8}{3} \]

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

In interval notation, this can be expressed as: \[ (-\infty, \frac{8}{3}] \]