Q. Is (1,2) a solution to this system of inequalities?2x+y≥411x+4y≥20Choices:(A)yes(B)no
Check Point 1,2: Check if the point 1,2 satisfies the inequality 2x+y≥4.Substitute x=1 and y=2 into the inequality 2x+y≥4.2(1)+2≥42+2≥44≥4The point 1,2 satisfies the inequality 2x+y≥4.
Check Inequality 1: Check if the point (1,2) satisfies the inequality 11x+4y≥20. Substitute x=1 and y=2 into the inequality 11x+4y≥20. 11(1)+4(2)≥2011+8≥2019≥20 The point (1,2) does not satisfy the inequality 11x+4y≥20.
Check Inequality 2: Determine if (1,2) is a solution to the system of inequalities.Since the point (1,2) 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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