Q. Is (1,8) a solution to this system of inequalities?9x+y<203x+2y≥19Choices:(A)yes(B)no
Check Point Satisfaction: Does the point (1,8) satisfy the inequality 9x + y < 20?Substitute x=1 and y=8 into the inequality 9x + y < 20.9(1) + 8 < 209 + 8 < 2017 < 20The point (1,8) satisfies the inequality 9x + y < 20.
Check Inequality Satisfaction: Does the point (1,8) satisfy the inequality 3x+2y≥19?Substitute x=1 and y=8 into the inequality 3x+2y≥19.3(1)+2(8)≥193+16≥1919≥19The point (1,8) satisfies the inequality 3x+2y≥19.
Verify System Solution: Is (1,8) a solution to the system of inequalities?Since the point (1,8) satisfies both inequalities 9x + y < 20 and 3x+2y≥19, it is a solution to the system of inequalities.
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