Is (–6,–1) a solution to this system of inequalities?
5x–17y≤–13
2x+8y≥–20
To check if the point (-6, -1) is a solution to this system of inequalities, we need to substitute the x and y values into both inequalities and see if they hold true.
First, let's check the first inequality:
5(-6) - 17(-1) ≤ -13
-30 + 17 ≤ -13
-13 ≤ -13
The first inequality holds true for (-6, -1).
Now, let's check the second inequality:
2(-6) + 8(-1) ≥ -20
-12 - 8 ≥ -20
-20 ≥ -20
The second inequality also holds true for (-6, -1).
Therefore, (-6, -1) is a solution to the given system of inequalities.