Respuesta :
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,
[tex]5-2x+2x<8x+2x-3[/tex]
On simplify , we have,
[tex]5<10x-3[/tex]
Add 3 both sides, we have,
[tex]5+3<10x-3+3[/tex]
On simplify , we have,
[tex]10x>8[/tex]
Divide by 10 both sides , we have,
[tex]\frac{10x}{10}>\frac{8}{10}[/tex]
[tex]x>\frac{4}{5}[/tex]
Thus, a correct first step in solving 5 – 2x < 8x – 3 is 5 < 10x – 3
Option (c) is correct.
