Q. Is (1,10) a solution to this system of inequalities?y≥4x+5y≥x+9Choices:(A)yes(B)no
Check Point (1,10): Check if the point (1,10) satisfies the inequality y≥4x+5. Substitute x=1 and y=10 into the inequality. 10≥4(1)+510≥4+510≥9 Since 10 is greater than or equal to 9, the point (1,10) satisfies the first inequality.
Check Inequality y≥4x+5: Check if the point (1,10) satisfies the inequality y≥x+9. Substitute x=1 and y=10 into the inequality. 10≥1+910≥10 Since 10 is equal to 10, the point (1,10) also satisfies the second inequality.
Check Inequality y≥x+9: Determine if (1,10) is a solution to the system of inequalities.Since the point (1,10) satisfies both inequalities y≥4x+5 and y≥x+9, it is a solution to the system of inequalities.
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