Which of the following is the solution to | x | +5< 1? A. X<-4 B. X<-4 and X>-6 C. No solution D. All va

Question

Which of the following is the solution to | x | +5< 1?
A. X<-4
B. X<-4 and X>-6
C. No solution
D. All values are the solution

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Quinn 2 weeks 2021-10-03T14:48:10+00:00 1 Answer 0

Answers ( )

    0
    2021-10-03T14:49:49+00:00

    C. No Solution

    Explanation

    The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.

    |x| + 5< 1\\|x| + 5 -1 < 0\\|x| +4 < 0\\|x| < -4

    Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.

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