what is the solution to -2(8x - 4) < 2x + 5?\no x > 1/6\no x < 1/6\no x > 6\no x < 6

Explanation:

Step1: Expand the left - hand side

-2(8x - 4)=-16x + 8, so the inequality becomes -16x + 8 < 2x+5.

Step2: Move the x terms to one side

Add 16x to both sides: 8 < 2x + 16x+5, which simplifies to 8 < 18x + 5.

Step3: Move the constant terms to one side

Subtract 5 from both sides: 8 - 5 < 18x, so 3 < 18x.

Step4: Solve for x

Divide both sides by 18: x > \frac{3}{18}, which simplifies to x > \frac{1}{6}.

Answer:

x > \frac{1}{6}