Q. Is (1,5) a solution to this system of inequalities?6x+2y<20x+3y<17Choices:(A)yes(B)no
Check Point Satisfaction: Does the point (1,5) satisfy the inequality 6x + 2y < 20?Substitute x=1 and y=5 into the inequality 6x + 2y < 20.6(1) + 2(5) < 206 + 10 < 2016 < 20The point (1,5) satisfies the inequality 6x + 2y < 20.
Check Another Inequality: Does the point (1,5) satisfy the inequality x + 3y < 17?Substitute x=1 and y=5 into the inequality x + 3y < 17.1 + 3(5) < 171 + 15 < 1716 < 17The point (1,5) satisfies the inequality x + 3y < 17.
Verify System Solution: Is (1,5) a solution to the system of inequalities?Since the point (1,5) satisfies both inequalities 6x + 2y < 20 and x + 3y < 17, it is a solution to the system of inequalities.
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