Question

Step 1: 7x + 5 > 4x + 2 (Given)

Step 2: 3x + 5 > 2 (Subtraction)
Step 3: 3x > 3 (Subtraction)
Step 4: x > 1 (Division)
Zareen is trying to find her mistake in the problem shown. In which step(s) did she make her mistake?

Answer 1

Answer: Step 3:
`3x>3` (Subtraction).

Explanation:

1- Given the inequality shown in the problem, Zareen should solve it as following:

2-Subtract 4x from both sides:

`7x + 5-4x > 4x + 2 -4x\\3x+5>2`

(Zareen did this step correctly)

3- Subtract 5 from both sides:

`3x + 5-5 > 2-5\\3x>-3`

(As you can see, Zareen made a mistake in Step 3, because the subtraction is actually
`2-5=-3`)

4- Divide both sides by 3, then:

`(3x)/(3)>(-3)/(3)\\\\x>-1`