Wednesday, 17 March 2010

Graphing Inequalities

We have already graphed inequalities on a number line but what is the procedure and outcome of graphing inequalities on a coordinate plane?

As with number line graphs, we need to simplify the inequality expression before we try to graph.


Therefor: 2y > 4x - 6 must be simplified in the same manner as an equaiton.

We need y to have a coefficient of 1 so would divide each term in the inequality by 2.

2y > 4x - 6
2


y > 2x - 3

We would then graph the inequality the same way we graph equations, beginning with the y-intercept (-3) and then using the slope to extend the line in two directions.

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