Answer: To determine if the point (2, 3) is a solution to the system of inequalities, we need to substitute the values of x and y into each inequality and check if the inequalities hold true.
y < 4x - 5:
Substituting x = 2 and y = 3:
3 < 4(2) - 5
3 < 8 - 5
3 < 3
Since 3 is not less than 3, the inequality y < 4x - 5 is not true for the point (2, 3).
-2x - 7y > 10:
Substituting x = 2 and y = 3:
-2(2) - 7(3) > 10
-4 - 21 > 10
-25 > 10
Since -25 is not greater than 10, the inequality -2x - 7y > 10 is not true for the point (2, 3).
Therefore, neither of the inequalities holds true for the point (2, 3). Thus, (2, 3) is not a solution to the system of inequalities.
Explanation: