madimae
madimae madimae
  • 14-08-2020
  • Mathematics
contestada

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

01 Which of the following are solutions to x3 4x 7 Check all that apply class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 14-08-2020

Answer:

D. x= 10/3

Step-by-step 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
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