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.