Question

Solve for x: −5|x + 1| = 10
I got x=-3 and x=1
Please check my answer!

Answer 1

nah what was your first step ?

Answer 2

dividing both sides by -5

Answer 3

yep then what did you get at right side ?

Answer 4

-2

Answer 5

i subtracted 1 from both sides and got x=-3

Answer 6

So then you have

\[\large |x + 1| = -2\]

So just looking at that equation...think...does an absolute value ever equal a negative number?

Answer 7

no

Answer 8

So it's no solution?

Answer 9

So there are actually no solutions to this expression

Answer 10

Thank you!

Answer 11

yep that's right
absolute is always positive
\[\left| x \right| \ge 0\]

Answer 12

value*

Answer 13

Thank you, @Nnesha and @johnweldon1993 ! I fanned both of you.