To solve the inequality \( 0.5x - 4 - 2x \leq 2 \), we can first combine like terms and isolate \( x \).
-
Combine the \( x \) terms: \[ 0.5x - 2x = -1.5x \] So the inequality becomes: \[ -1.5x - 4 \leq 2 \]
-
Next, add 4 to both sides: \[ -1.5x \leq 2 + 4 \] \[ -1.5x \leq 6 \]
-
Now, divide both sides by -1.5. Remember, when we divide by a negative number, we must flip the inequality sign: \[ x \geq \frac{6}{-1.5} \] \[ x \geq -4 \]
Thus, the solution to the inequality is: \[ x \geq -4 \]
1 answer