Q. Is (9,1) a solution to this system of inequalities?2x+y≥194x+2y>2Choices:(A)yes(B)no
Check Inequality 1: Check if the point (9,1) satisfies the inequality 2x+y≥19. Substitute x=9 and y=1 into the inequality. 2(9)+1≥1918+1≥1919≥19 Since 19 is equal to 19, the inequality holds true.
Check Inequality 2: Check if the point (9,1) satisfies the inequality 4x + 2y > 2. Substitute x=9 and y=1 into the inequality. 4(9) + 2(1) > 2 36 + 2 > 2 38 > 2 Since 38 is greater than 2, the inequality holds true.
Determine Solution: Determine if (9,1) is a solution to the system of inequalities.Since the point (9,1) satisfies both inequalities:2x+y≥19 (true)4x + 2y > 2 (true)The point (9,1) is indeed a solution to the system of inequalities.
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