Final answer:
To determine which of the given points is a solution to the system of inequalities, you need to substitute the values of the points into the inequalities and check if they satisfy the inequality. The only solution to the system of inequalities is (1, 2), so option a) is the correct answer.
Step-by-step explanation:
To determine which of the given points is a solution to the system of inequalities, you need to substitute the values of the points into the inequalities and check if they satisfy the inequality. Let's go through each option:
a) (1, 2): Substituting the values into the system of inequalities gives: 1 < 2 and 2 > 1. Both inequalities are true, so (1, 2) is a solution.
b) (-2, -4): Substituting the values gives: -4 < -2 (which is false) and -2 > -4 (which is true). Therefore, (-2, -4) is not a solution.
c) (0, 1): Substituting the values gives: 1 < 0 (which is false) and 1 > 0 (which is true). Thus, (0, 1) is not a solution.
d) (3, 5): Substituting the values gives: 5 < 3 (which is false) and 3 > 5 (which is false). Hence, (3, 5) is not a solution.
Therefore, the only solution to the system of inequalities is (1, 2), so option a) is the correct answer.