solve using the addition and multiplication principle
5x+2-4 less than or equal to 13
http://www.jiskha.com/display.cgi?id=1322948194
To solve the inequality using the addition and multiplication principles, we will isolate the variable x.
Given inequality: 5x + 2 - 4 ≤ 13
Step 1: Combine like terms
Simplify the left side of the inequality by combining the constants.
5x - 2 ≤ 13
Step 2: Isolate the variable term
Get rid of the constant term (-2) by adding it to both sides of the inequality.
5x - 2 + 2 ≤ 13 + 2
5x ≤ 15
Step 3: Divide by the coefficient of x
To solve for x, divide both sides of the inequality by the coefficient of x, which is 5.
(5x)/5 ≤ 15/5
x ≤ 3
Therefore, the solution is x ≤ 3.