Question

Please help, I will give a medal. Thank you.

Write an inequality to describe the possible range of values for x.

A. 15 < x < 16
B. 0 < x < 16
C. 0 < x < 15
D. 15 < x < 31

Answer 1

Look at the pieces.

BC = BD This might suggest that x = 16, but keep thinking.
68 < 78, to x < 16, but not a whole lot less.
The upper triangle exists, so x shoudl be nowhere near zero.
There might be a ratio that would help. 68/78 = 0.87, so x might be around 87% of 16, or 14 ish.

Having said all that, what can you say about the four choices?

Answer 2

So, it's A?

Answer 3

You didn't say much about the others.

Answer 4

I'm pretty sure it's C

Answer 5

Are you just throwing darts? What section are you studying?

Answer 6

It's a geometry class on Triangle Inequalities

Answer 7

It's part of e2020

Answer 8

You didn't quite answer my question.

These are pretty close to equilateral triangles. x should not be anywhere near zero. I hesitate to say something that says it can be close.

When I say comment on them, I mean comment on them.

D is just silly. Don't pick that.
A is too narrow and 15 isn't low enough. Don't pick A.

Given the two very similar choices, I might be forced to pick the one farther from 16. Those zeros (0) are just really annoying. We can narrow it down better than that. If I HAD to write such a thing, I might stick my neck out and say 13 < x < 15.