Q. Is (4,9) a solution to this system of inequalities?y≤x+5y<7x+1Choices:(A)yes(B)no
Check Point Satisfaction: Check if the point (4,9) satisfies the inequality y≤x+5.Substitute 4 for x and 9 for y in the inequality y≤x+5.9≤4+59≤9Since 9≤9 is true, the point (4,9) satisfies the inequality y≤x+5.
Check Inequality: Check if the point (4,9) satisfies the inequality y < 7x + 1.Substitute 4 for x and 9 for y in the inequality y < 7x + 1.9 < 7(4) + 19 < 28 + 19 < 29Since 9 < 29 is true, the point (4,9) satisfies the inequality y < 7x + 1.
Determine Solution: Determine if the point (4,9) is a solution to the system of inequalities.Since the point (4,9) satisfies both inequalities y≤x+5 and y < 7x + 1, it is a solution to the system of inequalities.
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