solve using the addition and multiplication principle

5x+2-4x is less than or equal to 13

5x+2-4x is less than or equal to 13

x + 2 <= 13

x <= 11

To solve the inequality 5x + 2 - 4x ≤ 13, you can use the addition and multiplication principles of inequalities. Here's how you can solve it step by step:

Step 1: Simplify the expression on the left side:
Combine like terms 5x and -4x: 5x - 4x = x
The inequality becomes: x + 2 ≤ 13

Step 2: Subtract 2 from both sides to isolate the variable:
x + 2 - 2 ≤ 13 - 2
x ≤ 11

The solution to the inequality is x ≤ 11.