Which of the following points lie in the solution set to the following system of inequalities? y ≤ x − 5 y ≥ −x − 4 a. (−5, 2) b. (5, −2) c. (−5, −2) d. (5, 2)

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given