Q. Is (5,6) a solution to this system of inequalities?y<x+4y<10x+5Choices:(A)yes(B)no
Check Point (5,6): Does the point (5,6) satisfy the inequality y < x + 4?Substitute x=5 and y=6 in the inequality y < x + 4.6 < 5 + 46 < 9The point (5,6) satisfies the inequality y < x + 4.
Verify Inequality: Does the point (5,6) satisfy the inequality y < 10x + 5?Substitute x=5 and y=6 in the inequality y < 10x + 5.6 < 10 \times 5 + 56 < 50 + 56 < 55The point (5,6) satisfies the inequality y < 10x + 5.
Solution to System: Is (5,6) a solution to the system of inequalities?Since (5,6) satisfies both inequalities y < x + 4 and y < 10x + 5, it is a solution to the system of inequalities.
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