Question #30519

1 Answer
Jan 4, 2016

An explanation is given below.

Explanation:

To graph y>6 we start by graphing y=6

If you are not sure about this graph, just draw line through 6 on the yaxis parallel to the x-axis. It would be just a horizontal line.

Since the inequality is > this line should be made of dashes and shouldn't be a solid line.

Note if it was we would graph a solid line.

The last part is to shade the region. Since #>" indicates greater than, we would shade above the line and thus we get our result.

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Let us generalize.

If we have y>a or y<a

We draw a horizontal line through a on the yaxis parallel to the xaxis.

If the inequality is > or < then the line drawn would be in dashes.

If the inequality is or then the line drawn would be a solid line.

If the inequality is > then we shade above the line

If the inequality is < then we shade below the line.