Question

Is (−5,−8) a solution of y>3x+6

Answer 1

Answer: Yes the point (-5,-8) is a solution

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Explanation:

The point (-5,-8) means x = -5 and y = -8 pair up together.

Let's plug those values into the inequality

y > 3x+6

y > 3(-5)+6 .... replace x with -5

-8 > 3(-5)+6 ... replace y with -8

-8 > -15+6

-8 > -9

The last inequality is true. The value -8 is larger than -9 since -8 is to the right of -9 on a number line. Stuff on the right is larger than stuff on the left.

Since the last inequality is true, this means the first inequality is true when (x,y) = (-5,-8). Therefore (-5,-8) is a solution.