Q. Is (1,1) a solution to this system of inequalities?x+12y≥133x+16y≥19Choices:(A)yes(B)no
Check Point (1,1): Does the point (1,1) satisfy the inequality x+12y≥13?Substitute x=1 and y=1 into the inequality x+12y≥13.1+12×1≥131+12≥1313≥13The point (1,1) satisfies the inequality x+12y≥13.
Check Point (1,1): Does the point (1,1) satisfy the inequality 3x+16y≥19?Substitute x=1 and y=1 into the inequality 3x+16y≥19.3×1+16×1≥193+16≥1919≥19The point (1,1) satisfies the inequality 3x+16y≥19.
Verify Solution 1,1: Is 1,1 a solution to the system of inequalities?Since 1,1 satisfies both inequalities:x+12y≥133x+16y≥19The point 1,1 is indeed a solution to the system of inequalities.
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