A few days ago

more algebra help!?

determine correct 1/2 plane in each case and complete graph.


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A few days ago

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First, graph replace the > sign with an = sign and graph the line 4x+y=4.

Note that (0,4) and (1,0) are on this line. Just connect these two points (use a dashed line here, since it is a strict inequalilty. If it were 4x+y≥4 it would be a solid line.)

Then determine the half-plane for the inequality by choosing one convenient point and seeing if that point solves the inequality. I like using the origin (0,0).

But 4*0 + 0 = 0 is not greater than 4, so (0,0) is not in the correct half-plane. It must be the other one.