Question

What is the solution to the inequality? 3(x−2)+x≤2

Answer 1

x ≤ 2

Explanation:

Expand

3x - 6 + x ≤ 2

Rearrange

4x ≤ 8

x ≤ 2

Answer 2

x ≤ 2

Explanation:

Step 1: Write inequality

3(x - 2) + x ≤ 2

Step 2: Solve for x

1. Distribute 3: 3x - 6 + x ≤ 2
2. Combine like terms: 4x - 6 ≤ 2
3. Add 6 to both sides: 4x ≤ 8
4. Divide both sides by 4: x ≤ 2

Here we see that any number less than or equal to 2 will work.