Is (–10,2) a solution to this system of inequalities?
11x+18y< –20
20x–8y≥19
To determine if (-10,2) is a solution to this system of inequalities, we need to plug in the x and y values into both inequalities and see if they hold true.
For the first inequality:
11(-10) + 18(2) < -20
-110 + 36 < -20
-74 < -20
The first inequality is true when plugging in (-10,2).
For the second inequality:
20(-10) - 8(2) ≥ 19
-200 - 16 ≥ 19
-216 ≥ 19
The second inequality is false when plugging in (-10,2).
Therefore, (-10,2) is not a solution to the system of inequalities.