Question

help with problem 45!

Answer 1

@jenny508

Is this the problem: x ≤ 2 and x≥-3 and x<(5/2) and x≥-5

Answer 2

Look and the graphs and determine which interval is all of these colors: green, gold, blue, and pink.

Answer 3

Ok

Answer 4

So, what did you get? Post that and I'll tell you what I got.

Answer 5

I don't get it

Answer 6

Look from left to right on the graphs. Which is the first point that is contained in all the graphs?

Answer 7

What is the x that goes with that pink dot? (on the left of the graph)

Answer 8

Talk to me. Where does the black segment I drew touch the number line?

Answer 9

Alrighty, then. I have to go. I'll save the second part for the endpoint of the common interval to use in case I see you online again.

Answer 10

X> -3

Answer 11

Okay later

Answer 12

Well, you have a candidate for the left endpoint. Let me see what I got.

Answer 13

-3, yes. -3 is is on all those graphs.

So, the common interval will begin - 3 ≤ x ?

Answer 14

I think so

Answer 15

Now, look at the same set of graphs on the attachment below. Where does the vertical black segment cut the number line. That is the biggest point on all four of the given inequalities.

Answer 16

And, the right endpoint is ? @jenny508

Answer 17

X<5/2

Answer 18

Too large. The number coordinate that goes with the blue dot. Check out this diagram.

Answer 19

The blue dot is directly above the number what ?

Answer 20

2 1/2

Answer 21

Too big. Drop back to an integer.

Answer 22

Look again. I pulled out the blue graph for easier viewing.

Answer 23

Here is where we are --> - 3 ≤ x ≤

If you give that number with the blue dot over it, it goes at the end of the inequality statement above.