Question

Select the inequality that corresponds to the given graph. (see attached photo)

A 3x - 7 < 11
B -4x greater than or equal to 24
C -2x + 7 less than or greater to 13
D 3(x - 2) - 3 greater than or equal to x - 5

my answer is D, am I correct?

Answer 1

It's not any of these.

Answer 2

If you changed the wording of "c" to say "less than or equal to", then "c" would be correct.

Answer 3

well those are the only answers they gave me, but you say its C

Answer 4

So, a simpler way to see the change to selection "c" is to change the word "greater" to "equal" and then you can have "c" as the correct answer. I would think that this is this is the case because "c" as worded looks like a typo, because one doesn't have something "greater to". One would have "equal to" or "greater than". So, make the correction to the wording of "c" and take that one.

Answer 5

well this is how C is -2x+7<11

Answer 6

Isn't it:\[-2x + 7 \le 11\]instead? Isn't there a bar under the inequality sign?

Answer 7

@tcarroll010 yeah your right

Answer 8

It is necessary to keep in mind that the two symbols are not the same. "c" is then definitely the correct answer since that is "less than or equal to".

Answer 9

If the symbol were

<

Then it would be "less than"

Answer 10

So, are you good on this now? Any lingering difficulties?

Answer 11

−2x + 7 ≤ 13

You will eventually get:x≥−3 if you first subtract 7 from both sides and then divide both sides by -2 (and also switching the inequality sign direction). And that's all there is to it.

Answer 12

Are you still there?

Answer 13

You're welcome.

Answer 14

yes

Answer 15

@tcarroll010 so just to be sure that C, is the right answer?

Answer 16

I have already answered this in detail. Please do me the courtesy of at least reading my answer and all the work I did for you already.