Question #30519

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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.