Q. Is (8,2) a solution to this system of inequalities?x+y≥1017x+11y≤2Choices:(A)yes(B)no
Check Point (8,2): Check if the point (8,2) satisfies the inequality x+y≥10. Substitute x=8 and y=2 into the inequality. 8+2≥1010≥10 Since 10 is equal to 10, the inequality holds true.
Check Inequality 1: Check if the point (8,2) satisfies the inequality 17x+11y≤2. Substitute x=8 and y=2 into the inequality. 17(8)+11(2)≤2136+22≤2158≤2 Since 158 is not less than or equal to2, the inequality does not hold true.
Check Inequality 2: Determine if the point (8,2) is a solution to the system of inequalities.Since the point (8,2) satisfies the first inequality but does not satisfy the second inequality, it is not a solution to the system of inequalities.
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