Question

Solve for X:

-5 |x + 1| = 10

a. x = 0
b. x = -3 and x = 1
c. x = -1 and x = 3
d. no solution

Answer 1

what happens when you divide both sides by -5?

Answer 2

I got -2 @jim_thompson5910

Answer 3

Can distance be negative?

Answer 4

Does anything have a distance of -2 from 0?

Answer 5

correct, you should get -2 on the right side. Do you understand what freckles is asking? or no?

Answer 6

no

Answer 7

absolute value represents distance

for example, |-3| = 3 means that -3 is three units away from 0

if we said |x| = 2, then the answers are x = -2 or x = 2 because each number is two units away from 0.

Notice how the distance is never negative

Answer 8

so saying |x + 1| = -2 is impossible

therefore, there are no solutions to this equation or the original equation

Answer 9

there are no values of x that will make |x + 1| = -2 true

there are no values of x that will make -5|x + 1| = 10 true

Answer 10

oh okay, thank you so much! (:

Answer 11

you're welcome