Q. Is (3,9) a solution to this system of inequalities?y>2x+1y≥x+6Choices:(A)yes(B)no
Check First Inequality: Check if (3,9) satisfies the first inequality y>2x+1. Substitute x=3 and y=9 into the inequality. 9>2(3)+19>6+19>7 This is true, so (3,9) satisfies the first inequality.
Check Second Inequality: Check if (3,9) satisfies the second inequality y≥x+6.Substitute x=3 and y=9 into the inequality.9≥3+69≥9This is also true, so (3,9) satisfies the second inequality.
Solution to System: Since (3,9) satisfies both inequalities, it is a solution to the system of inequalities.
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