Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the inequality. Explain all steps and identify the properties used.
3a - 4 ≤ 5
3a ≤ 9
a ≤ 3
but what property did you use
i have to name it
how do i do this?
To solve the inequality 3a - 4 ≤ 5, we need to isolate the variable "a" on one side of the inequality sign. Here are the steps to solve the inequality:
Step 1: Add 4 to both sides of the inequality:
3a - 4 + 4 ≤ 5 + 4
This simplifies to:
3a ≤ 9
Step 2: Divide both sides of the inequality by 3 to isolate "a":
(3a)/3 ≤ 9/3
This simplifies to:
a ≤ 3
Therefore, the solution to the inequality 3a - 4 ≤ 5 is a ≤ 3.
Properties Used:
1. Addition Property of Inequality: Adding the same value to both sides of an inequality does not change the order or inequality sign.
2. Division Property of Inequality: Dividing both sides of an inequality by the same positive number does not change the order or inequality sign.