Question

My teacher on FLVS is on vacation. Would somebody please help explain this for me? Thank you! (Solve for x: −4|x + 5| = −16)

Answer 1

first divide -4 on both sides, that will get you |x+5|=4

Answer 2

So, x+5=4... So x=-1?

Answer 3

"||" these things mean determinant. so there are two possibilities.

Answer 4

first take these out "||". and write that there are two possibilities
.

Answer 5

first one is x+5 = -4 and the other one is x+5 = +4

Answer 6

So, the possibilities are -9 and -1?

Answer 7

x+5= -4 => x=-9 and x+5 = 4 => x= -1

Answer 8

yeah

Answer 9

Ah, thank you soo much!

Answer 10

then write answer like this, "solution set = {-9, -1}". this is the correct way to write this kind of answer.

Answer 11

no problem