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

Explanation:

In Step 3, Mia should have subtracted 5 from both sides of the inequality to give −2x < −4

Answer 2

c)Step 3

Explanation:

We are given that an inequality

`4x+5 < 6x+1`

We have to find the incorrect step in which Mia makes a mistake.

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

Reason: Given

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

`-2x+5 < 1`

Reason: Subtraction property of inequality

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

`-2x< -4`

Reason: Subtraction property of inequality

Step 4:
`-x< -2`

`x> 2`

Reason: division property of inequality

Answer: C)Step 3