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5 votes
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

User Huruji
by
8.4k points

1 Answer

5 votes

Answer:

B

Explanation:

Consider the inequality
|x|+19\le 3

Subtract 19 from both sides of inequality:


|x|+19-19\le 3-19\\ \\|x|\le -16

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.

User Jesenko
by
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