Question

I need help on this equation -2(4x-1)<3

Answer 1

To solve the equation -2(4x-1)<3, distribute -2 and move the constant term to the other side of the inequality, then divide by -8.

Step-by-step explanation:

To solve the equation -2(4x-1)<3, we need to apply the order of operations and isolate the variable x. Here are the steps:

1. Distribute -2 to the terms inside the parentheses: -8x + 2 < 3
2. Move the constant term to the other side of the inequality by subtracting 2 from both sides: -8x < 1
3. Divide both sides of the inequality by -8. Remember, when dividing or multiplying an inequality by a negative number, we need to flip the direction of the inequality: x > -1/8

The solution to the inequality is x > -1/8. This means that any value of x greater than -1/8 will satisfy the inequality.