Question

Solve the inequality: 4x−8<−2x+1

What is the largest integer value that makes this inequality true?

Answer 1

To solve the inequality 4x - 8 < -2x + 1, simplify, isolate x, and find the largest integer value that satisfies the inequality.

Step-by-step explanation:

To solve the inequality 4x - 8 < -2x + 1, we need to isolate the variable x on one side of the inequality. First, let's simplify both sides of the equation by combining like terms:

6x - 8 < 1

Next, let's add 8 to both sides of the inequality:

6x < 9

Finally, divide both sides of the inequality by 6 to solve for x:

x < 9/6

Therefore, the largest integer value that makes the inequality true is 1.