# math

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what would the graph of this look like

xy<0

• math -

You'd recognise it. :-)

xy < 0 means xy is negative.

When x is 1, what values can y have? When x is 5? pi? 1,000,000,000?

When x is -1, what values can y have?

If the product of two numbers, say x * y, is negative, what do you know about those numbers? One is p------- and the other is n-------

So the graph of xy<0 is all the set of (x,y) pairs where x is p----- and y is n------ plus the set of (x,y) pairs where x is n----- and y is p------.

Note that neither x or y can be zero; that means the graph doesn't touch the axes.

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