Question

Use both the addition line. 2(4y-3)<2

Answer 1

To solve the inequality 2(4y-3)<2, distribute the 2 to the terms inside the parentheses, add 6 to both sides of the inequality, and divide both sides by 8.

Step-by-step explanation:

To solve the inequality 2(4y-3)<2 using the addition line, we need to perform the appropriate operations to isolate the variable y.

1. First, distribute the 2 to the terms inside the parentheses: 8y - 6 < 2.
2. Next, add 6 to both sides of the inequality to get rid of the constant term: 8y < 8.
3. Finally, divide both sides of the inequality by 8 to solve for y: y < 1.

So the solution to the inequality is y < 1, which means any value of y less than 1 will satisfy the inequality.