Question

Which values satisfy the inequality? |y| > 6

Choose all answers that are correct.

A.
y = –7

B.
y = –1

C.
y = 3

D.
y = 9

Answer 1

@SolomonZelman

Answer 2

Well, yo can plug them in and try, but in general, whenever you see an absolute value inequality it means that the number will be constriend between two poiunts or NOT between those two points.

Answer 3

To solve an equation of the form

\(|X| = k\)

where X is an expression with a variable and k is a non-negative number, solve the compound equation

X = k or X = -k

Answer 4

|x| < k means x will be between k and -k.
|x| > k means x will be outside k and -k.

Answer 5

Your expression with a variable is simply y.
Set y equal to the number. Then set y equal to the negative of the number.
Separate the equations with the word "or". That is the solution.

Answer 6

ok

Answer 7

So, based on all that, do you see the answer(s)?

Answer 8

???????????

Answer 9

Sorry. I misread the problem as as equation, y = |6|.
Follow @e.mccormick as to how to find the answer the question.

Answer 10

what do you mean by |x| > k means x will be outside k and -k.

Answer 11

Because it is an inequality, y will be above or below some value. However, because y is in an absolute value, it means it is like being above or below two values:

|x| > k means:
x > k AND x > -k

So if k is say 3, the line graph would be:

So it is OUTSIDE the -3 to 3 range.

Answer 12

|y|= y with a positive sign
this means that |-7|=7 and |7|=7
get it?
|-3|=3 and |3|=3.
Now try.

Answer 13

If I did |x|<3, it would be:

That is inside...

Answer 14

Or between. That is what I meant by it is between the numbers or outside those numbers. The > or < tells you which.

Answer 15

>:( i still dont understand

Answer 16

OK. Well, lets do try and see.

|y| > 6
y = –7
y = –1
y = 3
y = 9

If you put -7 in place of y, is that true? If yes, then that is a valid answer. If no, it is not. Then repeat with -1, 3, and 9.

Answer 17

@e.mccormick 9?

Answer 18

Yes, |9| > 6 is true. However, there is another.

Answer 19

3?

Answer 20

|3| > 6
3 > 6

Three is greater than six... no, that is false.

Answer 21

oh yea

Answer 22

Remember how the absolute value works.

Answer 23

so 7

Answer 24

Yes.

|y| > 6 means values outside the range of -6 to 6 are true. So values more than 6 and les than -6 would satisfy that. -7 is less than -6, so it is true.

Answer 25

IF it had been |y| < 6, it would have been the other two. But for |y| > 6 it is A and D.

Answer 26

I hope that makes more sense now.

Answer 27

@e.mccormick 100%