Question

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Answer 1

@lolokrat Do you know how inequalities work?

Answer 2

Let me give you an example

Answer 3

Say we have the number -5.

Then we have the following inequalities:

\[-1 < x < 3\]
\[-5 \le x < -3\]
\[-4 < x + 3 < 2\]
\[7 < x < 12\]

Answer 4

-5 doesn't work for the first one because -5 is less than -1. x must be greater than -1 or less than 3 to be a solution.

-5 works for the second one because -5 is greater than or equal to -5, and less than -3.

-5 also works for the third one, because whilst -5 is greater than -4, when you add 3 to -5 you get -2, therefore it is greater than -4 and less than 2.

-5 doesn't work for the last one because -5 is less than 7 and x must be greater than 7.

Answer 5

Does this make sense to you?