Question

Step 1: Subtract 3 from both sides of the inequality. Which is a correct first step in solving 5 – 2x < 8x – 3?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?

Answer 1

Step 1: 5-3-2x<8x+3-3
Step 2: you would subtract 2x from both sides
Step 3: 2-2x/2<8x/2

Answer 2

Step 1:
`5-2x-3<8x-3-3`

Step 2: Adding 2x on both side of inequality.

Explanation:

We are given that an inequality

`5-2x<8x-3`

We have to find the first step and missing step 2 in solving the given inequality

`5-8x<2x-3`

We are given that first step

Step 1: Subtract 3 from both side of the inequality

`5-2x<8x-3`

Then we get

Step 1:
`5-2x-3<8x-3-3`

Now, we are finding the second step

`2-2x<8x-6`

By simplification

`2+6-2x<8x-6+6`

By adding 6 on both side

`8-2x<8x`

Step 2: Adding 2x on both side of inequality

Step 2:
`8-2x+2x<8x+2x`

`8<10x`

Step 3:Divide both sides of the inequality by the coefficient of x.

Then we get

Step 3:
`(4)/(5)<x`