Question

Step 1: –10 + 8x < 6x – 4 Step 2: –10 < –2x – 4 Step 3: –6 < –2x Step 4: ________ What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answer 1

Given:

The inequality is

`-10+8x<6x-4`

To find:

The missing step in solving the given inequality.

Solution:

Step 1: The given equation.

`-10+8x<6x-4`

Step 2: Subtract 8x from both sides.

`-10+8x-8x<6x-4-8x`

`-10<-2x-4`

Step 3: Add 4 on both sides.

`-10+4<-2x-4+4`

`-6<-2x`

Step 4: Divide both sides by -2 and change the sign of inequity as we divide the inequality by a negative number.

`(-6)/(-2)>(-2x)/(-2)`

`3>x`

Therefore, the missing step is
`3>x`.