Q. Is (1,10) a solution to this system of inequalities?y≤x+9y≤8x+2Choices:(A)yes(B)no
Check Point (1,10): Does the point (1,10) satisfy the inequality y≤x+9?Substitute x=1 and y=10 into the inequality y≤x+9.10≤1+910≤10The point (1,10) satisfies the inequality y≤x+9.
Verify Inequality: Does the point (1,10) satisfy the inequality y≤8x+2?Substitute x=1 and y=10 into the inequality y≤8x+2.10≤8×1+210≤8+210≤10The point (1,10) satisfies the inequality y≤8x+2.
Solution to System: Is (1,10) a solution to the system of inequalities?Since the point (1,10) satisfies both inequalities y≤x+9 and y≤8x+2, it is a solution to the system of inequalities.
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