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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

Verified Answer :

add 2x to both sides of the equation which gives you 5<10x-3

Answer:

Option (c) is correct.

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

Step-by-step 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,

\(\frac{10x}{10}>\frac{8}{10}\)

\(x>\frac{4}{5}\)

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

Option (c) is correct.

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