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.
3
a
−
4
≤
5
Enter your answer and show all the steps that you use to solve this problem in the space provided.
3 a - 4 ≤ 5
add 4 ... 3 a ≤ 9
divide by 3 ... a ≤ ?
Is this correct?
To solve the inequality:
3a - 4 ≤ 5
Step 1: Add 4 to both sides of the inequality to isolate the term with 'a':
3a - 4 + 4 ≤ 5 + 4
3a ≤ 9
Step 2: Divide both sides of the inequality by 3 to solve for 'a':
(3a) / 3 ≤ (9) / 3
a ≤ 3
The solution to the inequality is: a ≤ 3
Properties used:
1. Addition Property of Inequality: Added 4 to both sides of the inequality.
2. Division Property of Inequality: Divided both sides of the inequality by 3.
To solve the inequality 3a - 4 ≤ 5, we need to isolate the variable "a" on one side of the inequality.
Step 1: Begin by adding 4 to both sides of the inequality:
3a - 4 + 4 ≤ 5 + 4
Simplifying, we get:
3a ≤ 9
Step 2: To isolate the variable "a", divide both sides of the inequality by 3:
(3a)/3 ≤ 9/3
Simplifying, we get:
a ≤ 3
The solution to the inequality is a ≤ 3.
The properties used in this solution are:
1. The addition property of inequality, which allows us to add the same value to both sides of the inequality.
2. The division property of inequality, which allows us to divide both sides of the inequality by the same non-zero value.