Question

The conjunction, x<3 and x>-1, may be written -1

Answer 1

Answer:   -1 < x < 3

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Explanation:

The first thing to do is to swap the positions of the x < 3 and the x > -1

So you'll end up with x > -1 and x < 3

Now focus entirely on x > -1. Swap the left and right sides, and also swap the inequality sign. So we end up with -1 < x

That means the "x > -1 and x < 3" is the same as "-1 < x and x < 3"

From here, we collapse the two inequalities to form the compound inequality -1 < x < 3

We can say "x is between -1 and 3, excluding either endpoint".