Q. Is (1,10) a solution to this system of inequalities?y≤8x+2y>x+5Choices:(A)yes(B)no
Check First Inequality: Check if (1,10) satisfies the first inequality y≤8x+2.Substitute x=1 and y=10 into the inequality.10≤8⋅1+210≤10The point (1,10) satisfies the first inequality.
Check Second Inequality: Check if (1,10) satisfies the second inequality y > x + 5.Substitute x=1 and y=10 into the inequality.10 > 1 + 510 > 6The point (1,10) satisfies the second inequality.
Solution Verification: Since (1,10) satisfies both inequalities, it is a solution to the system.
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