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?

Question

asked Mar 20, 2021 162k views

1 Answer

Nerdabilly · Answer 1 · 2021-03-27T10:26:13+0000

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
.