Question

Resolva a inequação: 3(x+1)/2 -x-1/4 ≤ 1/2

Answer 1

3(x + 1)/2 - x - 1/4 ≤ 1/2
3x + 3/2 - x - 1/4 ≤ 1/2
6x + 6 - x - 1/4 ≤ 1/2
5x + 5 ≤ 2
5x ≤ - 3
x ≤ - 3/5

Answer 2

$\frac{3(x+1)}{2} -x- \frac{1}{4} \leq \frac{1}{2} \\ \\ mmc(2,4)=4 \\ \\ 2.3(x+1)-4x-1 \leq 2 \\ \\ 6(x+1)-4x-1 \leq 2 \\ \\ 6x+6-4x-1 \leq 2 \\ \\ 6x-4x \leq 2+1-6 \\ \\ 2x \leq 3-6 \\ \\ 2x \leq -3 \\ \\ x \leq - \frac{3}{2} \\ \\ S=\{x\in R/x \leq - \frac{3}{2} \}$