Question

What is the solution set for the following inequality

5x + 2 > 8x + 8

Answer 1

The solution set for the inequality is x < 2.

Explanation:

To solve this inequality, we need to get the variable x by itself on one side of the inequality. We can do this by subtracting 5x from both sides and subtracting 8 from both sides. This gives us the following:

-3x + 2 > 8 - 8

-3x > -6

Then, we can divide both sides of the inequality by -3 to get the solution set:

x < 2