Question

How would you graph |y+6|>4 on a number line?

Answer 1

If

|y+6|>4

then

y+6>4 or y+6<-4

Answer 2

Solve each inequality for y

Answer 3

Tell me what you get

Answer 4

Is it y>-2 ? I'm confused how to do this.

Answer 5

Solve the first part...

y + 6 > 4

y + 6-6 > 4-6 ... Subtract 6 from both sides.

y > -2 .... Combine like terms.

So you have the first part correct

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Then solve the next part

y+6<-4

y+6-6 <-4 - 6... Subtract 6 from both sides.

y < -10 ... Combine like terms.

Answer 6

So if

|y+6|>4

then

y+6>4 or y+6<-4

which means

y > -2 or y < -10

Answer 7

and I graph both of those at the same time?

Answer 8

Now draw out a number line

Answer 9

Place open circles at -10 and -2

Answer 10

Okay I understand, thanks for your help!

Answer 11

Then shade to the left of -10 (since y < -10) and shade to the right of -2 (since y > -2)