Question

Step 1: 4x + 5 < 6x + 1 (Given)

Step 2: -2x + 5 < 1 (Subtraction)
Step 3: -2x < 6 (Addition)
Step 4: x > -3 (Division)

Mia is trying to find her mistake in the problem shown. In which step did she first make a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4

Answer 1

C) step 3
it's suppose to be subtraction which you will get -2x<-4

Answer 2

C) Step 3

Explanation:

We are given that

`4x+5< 6x+1`

We have to find the mistake made by Mia in her solution.

Step 1:
`4x+5<6x+1`

Reason: Given

Step 2:
`4x-6x+5<+1`

`-2x+5<1`

Reason: Subtraction property of inequality

Step 3:
`-2x <1-5`

`-2x<-4`

Reason: Using subtraction property of inequality

Step 4:
`-x<-2`

`x>2`

Reason: Division property of inequality

Mia did mistake in step 3 .She using addition property instead of subtraction property.

Option C is true.