solve the inequality. Expiation each step and identify the property used. 3a-4<=5
3a-4 = 5
3a < 9
a < 3
And that's "explain" not "expiation," which is something else entirely! (and not even a verb)
To solve the inequality 3a - 4 ≤ 5, let's follow these steps:
Step 1: Start by isolating the variable term on one side of the inequality. In this case, the variable term is 3a. To isolate it, we need to get rid of the constant term (-4) by adding 4 to both sides of the inequality:
(3a - 4) + 4 ≤ 5 + 4
Simplifying, we get:
3a ≤ 9
Property used: Addition property of inequality
Step 2: Next, divide both sides of the inequality by the coefficient of the variable term (3) to solve for 'a':
(3a)/3 ≤ 9/3
Simplifying, we get:
a ≤ 3
Property used: Division property of inequality
So, the solution to the inequality 3a - 4 ≤ 5 is a ≤ 3.