Question

01
Which of the following are solutions to x+3|= 4x - 7? Check all that apply.

Answer 1

D. x= 10/3

Explanation:

|x+3| = 4x -7

1. x+3 > 0 or x> -3

• x+3 = 4x - 7
• 4x -x = 3+7
• 3x = 10
• x= 10/3

Since 10/3 is greater than -3, it is accepted correct

2. x+3 < 0 or x < -3

• -(x+3) = 4x-7
• 4x+x = 7 -3
• 5x = 4
• x = 4/5

Here we have 4/5 > - 3, it is contradicting with x< -3 so this is not correct

So there is one solution:

• D. x= 10/3