I'm doing Math called "Advanced Inequalities: 3 Terms III"

Question

I watched how they explained to do the math and understood it pretty well. But now I don't understand the Equations it's giving me. The one I have right now is this:
78 ≥ __ < 46
So it's Greater than or equal to 78, but also less than 46??? Please help me I don't know if this is very easy and it's just not working in my brain, or if it's actually just hard.

Answer 1

The reason you are confused is the fact that there are no numbers that
fit this condition.

A good way to show it is by way of a number line.
Place the 46 on a suitably scaled number line and draw a line to the left
(to show all numbers less than 46). Place the 78 on the the number line and
draw a line to the right, including the 78 (to show the numbers ≥ 78)

Now which numbers would be to the
left of 46 AND to the right of 79 ? NONE

But,
which numbers would be to the left of 46 OR to the right of 79 ? You would have
quite a few, right?

So the key to these kind of questions is the choice of AND or OR.

Btw, I noticed the bot, who usually answered within a second , has not
responded to your problem.
I am a real person.

Answer 2

thank you so much!