124,063 views
2 votes
2 votes
Which of the following is the correct solution for |x + 4| = -1? no solution, -5 ,-3 ,-5 and -3)

User Ivan Kruglov
by
3.1k points

1 Answer

20 votes
20 votes

Answer:No solution

Explanation:

|x + 4| = -1

The expression |x + 4| is telling us that regardless the value of x, the expression will always be positive, since we are taking the absolute value of whatever result x+4 provides. We can try x = -1000.

|-1000 + 4|

|-996|

996

There is no value of x that could possibly result in -1 as a solution to |x + 4|

User Ed Avis
by
2.7k points