Question

Question 6.6. Solve the inequality.

|x + 5| > 12

(Points : 4)
–7 < x < 7
–17 < x < 7
x > –17 or x < 7
x < –17 or x > 7

Answer 1

Do you know how to rid the absolute value symbol?

Answer 2

That's where you should start first

Answer 3

no i dont know how can you please help me

Answer 4

Sure

Answer 5

Absolute value basically makes everything inside the two lines positive.

Answer 6

To get rid of the absolute value, we have to include the bounds at positive and negative values. Such that:

-12 > x + 5 > 12

Answer 7

We keep the inequality sign in the same direction as well.

Answer 8

ok

Answer 9

Now you need to continue to simplify -12 > x+5 > 12

Answer 10

ok

Answer 11

Let me know what you get and I'd be happy to check it for you!

Answer 12

7

Answer 13

u move 5 over to the other side and because of this it changes signs and becomes a negative.
x=12-5
x=7

Answer 14

.

Answer 15

wait what

Answer 16

whats the anwser