whitealexia81 whitealexia81
  • 19-01-2020
  • Mathematics
contestada

which of the following is the solution to |x|+19<=3
A. x<=-16
B. no solution
C. all values are solutions
D. x<=-16 and x=>16

Respuesta :

frika
frika frika
  • 25-01-2020

Answer:

B

Step-by-step explanation:

Consider the inequality [tex]|x|+19\le 3[/tex]

Subtract 19 from both sides of inequality:

[tex]|x|+19-19\le 3-19\\ \\|x|\le -16[/tex]

Since the absolute value of the variable x is always non-negative (by definition), then the absolute value of x cannot be less or equal to -16. This means the inequality has no solutions.

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mdepresso
mdepresso mdepresso
  • 03-03-2021

Answer:

B. no solution

Step-by-step explanation:

a p e x

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