Answers: 1 = yes, 2 = no, 3 = yes
Step-by-step explanation:
1. (3, 7)
y > 6 ⇒ 7 > 6 TRUE
y ≤ 2x + 3 ⇒ 7 ≤ 2(3) + 3 ⇒ 7 ≤ 6 + 3 ⇒ 7 ≤ 9 TRUE
Both are true statements so (3, 7) IS a solution
2. (2, 3)
y ≤ 0 ⇒ 3 ≤ 0 FALSE
y < 3x - 1
At least one statement is false so (2, 3) is NOT a solution
3. (-2, 1)
y ≥ x - 5 ⇒ 1 ≥ -2 - 5 ⇒ 1 ≥ -7 TRUE
y > 2x + 7 ⇒ 1 > 2(-2) + 7 ⇒ 1 > -4 + 7 ⇒ 1 > 3 TRUE
Both are true statements so (-2, 1) IS a solution