Question

Step 1: Subtract 3 from both sides of the inequality. Step 2: __________ Step 3: Divide both sides of the inequality by the coefficient of x. What is the missing step in solving the inequality 5 – 8x < 2x + 3? Add 2x to both sides of the inequality. Subtract 8x from both sides of the inequality. Subtract 2x from both sides of the inequality. Add 8x to both sides of the inequality.

Answer 1

Subtract 8x from both sides of the inequality.

Explanation:

Answer 2

(D) Add 8x to both sides of the inequality.

Explanation:

The given inequality is:

`5-8x<2x+3`

Upon solving the above inequality, we get

Step 1. Subtract 3 from both sides of the inequality.

`5-8x-3<2x+3-3`

⇒
`2-8x<2x`

Step 2. Add 8x to both sides of the inequality.

`2-8x+8x<2x+8x`

⇒
`2<10x`

Step 3. Divide both sides of the inequality by the coefficient of x that is 10.

`(2)/(10)<(10x)/(10)`

⇒
`(1)/(5)<x`

which is the required solved form of the given inequality.

Thus, option D is correct.