Question

Suppose xy > 0. Describe the points whose coordinates are solutions to the inequality.

Answer 1

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

• x ≠ 0
• y ≠ 0
• Sign(x) =sign(y)

Which points are solutions of the inequality?

We want to find points of the form (x, y) that are solutions of the inequality:

x*y > 0

Clearly x and y must be different than zero.

So, for example if x = -1, y can be any negative number, for example y= -3

x*y > 0

(-1)*(-3) > 0

3 > 0

This is true.

Now if x  = 1, y must be positive. LEt's take y = 103, then:

x*y > 0

1*103 > 0

103 > 0

Then we have 3 conditions:

• x ≠ 0
• y ≠ 0
• Sign(x) =sign(y)

The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

If you want to learn more about inequalities:

brainly.com/question/25275758

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