choco60
choco60 choco60
  • 06-03-2020
  • Mathematics
contestada

What is the solution of |5x + 1|+ 6 = 21?

What is the solution of 5x 1 6 21 class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 06-03-2020

5|x + 1| + 6 = 21

5|x + 1| = 15

|x + 1| = 3

Recall the definition of absolute value: |x| = +x if x ≥ 0, and |x| = -x if x < 0.

This means

  • if x + 1 ≥ 0, or x ≥ -1, then |x + 1| = x + 1, and so

x + 1 = 3

x = 2, or

  • if x + 1 < 0, or x < -1, then |x + 1| = -(x + 1), and so

-(x + 1) = 3

x + 1 = -3

x = -4

Answer Link

Otras preguntas

Why did the British set fire to the White House?
A certain reaction has ΔHo = -19.5 kJ and ΔSo = +42.7 J/K. a) Is the reaction endothermic or exothermic? b) Does the reaction lead to an increase or a decrease
Please help me. I am having trouble understanding the question.
how can i solve this​
The electric force operates on the principle of the attracting and repelling forces of ______ fields? 1) Voltage 2) Current 3) Power 4) Magnetic
Consider the vector field "f = (12x, 0, -12x)", and let S be the triangle with vertices: (1, 0, 0), (0, 1, 0), (0, 0, 1). Determine the upward direction (hint:
in the decimals chart the memory cue for dividing by a whole number is up. what does that mean
Who at the NTAG is responsible to develop the (ADPLAN), Advertising Plan?
The area of a rectangular park is 4500 m2. If the length of the park is 90 m, what is its width
A poll asked a random sample of 530 adults: "Do you support or oppose putting a special tax on junk food—that is, things like soda, chips, and candy—and using t
good job