Question

Which graph shows the following inequalities?
- 2 ≤ x + 5 < 7

Answer 1

Hello, I hope you're enjoying your stay at OpenStudy.

Your fist step would be solving the inequality:
- 2 ≤ x + 5 < 7

You can break it down into two inequalities

-2 ≤ x + 5 and x + 5 < 7

The next step is solving each inequality. Can you do that?

Answer 2

no, i dont understand how >__<

Answer 3

Are you familiar with how to solve equations?

If so, go ahead and solve this: x + 2 = 3

See if you can do it.

Answer 4

well x = 1

Answer 5

Okay, now can you solve x + 2 > 3

Answer 6

x + 2 is greater than 3??

Answer 7

Yes. CAn you solve it?

Answer 8

No! i dont understand the question >__<

Answer 9

It's the same as solving an equation. They are EXACTLY the same.

x + 2 = 3
x - 2 + 2 = 3 - 2
x = 1

Now the inequality version

x + 2 > 3
x - 2 + 2 > 3 - 2
x > 1

Answer 10

so a > or < would always be the same as =?

Answer 11

Yup! You work them exactly the same!

Answer 12

nope okay i dont understand.
- 2 ≤ x + 5 < 7
-2 = x + 5 = 7

Answer 13

- 2 ≤ x + 5 < 7


You want to split it into two separate ones.

-2 ≤ x + 5
x + 5 < 7

You basically want to take the middle terms (x + 5) and put them with the far left term and the far right term. Then solve them individually, and you'l lget the graph.

Answer 14

i dont understand ;___;

Answer 15

I'm going to use brackets ot make it easy to understand

(1) < [x + 2] < (3)

(1) < [x + 2] <-- you would solve this and you'll get a point on the graph
[x + 2] < (3) <-- You would solve this, too, and get another point on the graph

Answer 16

1 = 3 and 3 = 3??

Answer 17

You're not getting this are you. -_-