Question

Solve for x: −3|x + 7| = −12

x = 5 over 3, x = −19 over 3
x = −3, x = −11
x = −3, x = 11
No solution

Answer 1

I see that you are posting these types of questions. Do you know how to solve them?

Answer 2

no

Answer 3

One of my good ways would be to actually plug in the numbers

Answer 4

how do i do that ?

Answer 5

I will teach that to you.
Do you know what the absolute value symbols mean?

Answer 6

that whats inside it is positive ?

Answer 7

Yes or, in other words, the distance from that number and 0 (that's why it's positive).

Answer 8

So what will happen to the negative numbers once you plug them inside of the absolute value?

Answer 9

they will become positive

Answer 10

Good.

Answer 11

Now let's work with the first option.

Answer 12

okay

Answer 13

Actually for the sake of time, let's do the second one.

Answer 14

haha alright

Answer 15

If we first plug in -3 for x.
\[-3|-3+7|\]
First, we need to work with the numbers inside of the parenthesis.
what is -3 + 7?

Answer 16

sorry not the parenthesis, i meant the absolute value symbols.

Answer 17

in other words, what is the absolute value of -3 + 7?

Answer 18

did you get the answer?

Answer 19

how would i get the absolute value of that?

Answer 20

x: −3|x + 7| = −12
divide both sides by -3
|x + 7| = 4

now the left side is positive but the x + 7 can be negative or positive
so we have x + 7 = 4 or x + 7 = -4

solve these 2 equations

Answer 21

-3 + 7 = 4
absolute value would just be 4

Answer 22

i got x = -3, x= -11

Answer 23

there are 2 answers
they are the solutions of
x + 7 = 4 and x + 7 = -4

Answer 24

i'm sure you can solve these 2 simple equations ?

Answer 25

i got that answer that i posted above

Answer 26

i got -3 for the first equation and -11 for the second

Answer 27

right