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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?

Respuesta :

carlosego

Answer: Step 3: [tex]3x>3[/tex] (Subtraction).

Step-by-step explanation:

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

2-Subtract 4x from both sides:

[tex]7x + 5-4x > 4x + 2 -4x\\3x+5>2[/tex]

(Zareen did this step correctly)

3- Subtract 5 from both sides:

[tex]3x + 5-5 > 2-5\\3x>-3[/tex]

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

4- Divide both sides by 3, then:

[tex]\frac{3x}{3}>\frac{-3}{3}\\\\x>-1[/tex]

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