Question

solve the inequality. 2(4x - 3) ≥ -3(3x) + 5x? ○ x ≥ 0.5 ○ x ≥ 2 ○ (-∞, 0.5 ○ (-∞, 2

Explanation:

Step1: Expand both sides

Left side: \(2(4x - 3)=8x - 6\)
Right side: \(-3(3x)+5x=-9x + 5x=-4x\)
So the inequality becomes \(8x - 6\geq - 4x\)

Step2: Add \(4x\) to both sides

\(8x+4x - 6\geq - 4x+4x\)
\(12x - 6\geq0\)

Step3: Add 6 to both sides

\(12x - 6 + 6\geq0 + 6\)
\(12x\geq6\)

Step4: Divide both sides by 12

\(x\geq\frac{6}{12}\)
Simplify \(\frac{6}{12}\) to get \(x\geq0.5\)

Answer:

\(x\geq0.5\) (corresponding to the option: \(x\geq0.5\))