Which is a correct first step in solving 5 – 2x < 8x – 3? . choices. a.5 < 6x – 3. b.3x < 8x – 3. c.5 < 10x – 3.d.2 – 2x < 8x

When we solve inequalities like this, the first step is to gather the variable x on one side of the equation. At first, we have -2x on the left side and 8x on the right side. The first step would be to move -2x to the right side of the equation. We need to add 2x to both sides of the equation. The left side of the equation is then: 5 - 2x + 2x which is 5. The right side of the equation is then: 8x - 3 + 2x which is 10x - 3. The inequality is then: 5 < 10x - 3. So the correct answer is C.