How do you graph #6>=m# and #m> -2#?

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Answer 1 · 2018-01-22T12:57:55

See a solution process below:

We can rewrite these inequalities as:

#m > -2#; #m <= 6#

Or, in interval notation:

#(-2, 6]#

To graph this we will draw a vertical lines at #-2# and #6# on the horizontal axis.

The line at #-2# will be a dashed line because the inequality operator does not contain an "or equal to" clause.

The line at #6# will be a solid line because the inequality operator does contain an "or equal to" clause.

We will shade between the two lines to illustrate the interval.

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