Q. Is (1,1) a solution to this system of inequalities?9x+y≥95x+12y≥17Choices:(A)yes(B)no
Check Point (1,1): Does the point (1,1) satisfy the inequality 9x+y≥9?Substitute x=1 and y=1 into the inequality 9x+y≥9.9(1)+1≥99+1≥910≥9The point (1,1) satisfies the inequality 9x+y≥9.
Check Point (1,1): Does the point (1,1) satisfy the inequality 5x+12y≥17?Substitute x=1 and y=1 into the inequality 5x+12y≥17.5(1)+12(1)≥175+12≥1717≥17The point (1,1) satisfies the inequality 5x+12y≥17.
Verify Solution 1,1: Is 1,1 a solution to the system of inequalities?Since the point 1,1 satisfies both inequalities:10≥9 and 17≥17,the point 1,1 is indeed a solution to the system of inequalities.
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