Solve |x| + 7 < 4.

Question

Solve |x| + 7 < 4.

{x | x < -11 or x > -3}

{x | -3 < x < 3}

Ø

Answer 1

  This inequality has no solution:

 

l  X l  + 7 < 4

 

l x l ≥  0  , is always positive , therefore, l x l + 7 , could never be < 7.

 

 

Answer 2

There is no set of numbers that will work here, because x is represented in terms of absolute value.  If the question asked simply what set of values for x would fit, the answer would be x<-11.