solve the inequality.\n2(4x - 3) ≥ -3(3x) + 5x?\n○ x ≥ 0.5\n○ x ≥ 2\n○ (-∞, 0.5\n○ (-∞, 2

Explanation:

Step1: Expand both sides

$$2(4x - 3)=8x-6$$ $$-3(3x)+5x=-9x + 5x=-4x$$ 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)

$$x\geq\frac{6}{12}$$ $$x\geq0.5$$

Answer:

A. (x\geq0.5)