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Which is a correct first step in solving 5 – 2x < 8x – 3?

5 < 6x – 3
3x < 8x – 3
5 < 10x – 3
2 – 2x < 8x

User Mdoyle
by
7.6k points

2 Answers

4 votes
add 2x to both sides of the equation which gives you 5<10x-3
User Rutger
by
9.0k points
3 votes

Answer:

Option (c) is correct.

A correct first step in solving 5 – 2x < 8x – 3 is 5 < 10x – 3

Explanation:

Given inequality 5 – 2x < 8x – 3

We have to choose from the option the first step to solve the inequality,

Consider the given inequality 5 – 2x < 8x – 3

First Add 2x from both side, we have,


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

On simplify , we have,


5<10x-3

Add 3 both sides, we have,


5+3<10x-3+3

On simplify , we have,


10x>8

Divide by 10 both sides , we have,


(10x)/(10)>(8)/(10)


x>(4)/(5)

Thus, a correct first step in solving 5 – 2x < 8x – 3 is 5 < 10x – 3

Option (c) is correct.

User Aromanarguello
by
8.0k points

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