Question

Solve the inequality for x: 4x + 8 > 2(3x + 1)

Answer 1

x < 3

Explanation:

Step 1: Write inequality

4x + 8 > 2(3x + 1)

Step 2: Solve for x

1. Distribute 2: 4x + 8 > 6x + 2
2. Subtract 4x on both sides: 8 > 2x + 2
3. Subtract 2 on both sides: 6 > 2x
4. Divide both sides by 2: 3 > x
5. Rewrite: x < 3

Here we see that any value smaller than 3 will be a solution.