Question

solve the inequality.
\\(\frac{x}{2} \leq 6 - x\\)
\\(x \leq ?\\)

Explanation:

Step1: Eliminate denominator

Multiply both sides by 2:
$$2 \times \frac{x}{2} \leq 2(6 - x)$$
Simplify to get:
$$x \leq 12 - 2x$$

Step2: Isolate x terms

Add $2x$ to both sides:
$$x + 2x \leq 12 - 2x + 2x$$
Simplify to get:
$$3x \leq 12$$

Step3: Solve for x

Divide both sides by 3:
$$\frac{3x}{3} \leq \frac{12}{3}$$
Simplify to get:
$$x \leq 4$$

Answer:

$x \leq 4$