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Answer 1 · 2016-01-04T07:40:21

An explanation is given below.

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 #y-#axis 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 #y-#axis parallel to the #x-#axis.

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.