Which of the following points lie in the solution set to the following system of inequalities?y ≤ x − 5y ≥ −x − 4 (−5, 2) (5, −2) (−5, −2) (5, 2)
Accepted Solution
A:
For this case we will evaluate each point separately in the given functions. We have then: For (-5, 2): y ≤ x - 5 2 ≤ -5 - 5 2 ≤ -10 The point does not comply with the system of equations: For (5, -2) y ≤ x - 5 -2 ≤ 5 - 5 -2 ≤ 0 We verify the other inequality: y ≥ -x - 4 -2 ≥ -5 - 4 -2 ≥ -9 The point complies with the system of equations. Answer: A point that lies in the solution set to the system of inequalities is: (5, -2)