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Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney>x+5y > x + 5\newliney>8x+1y > 8x + 1\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney>x+5y > x + 5\newliney>8x+1y > 8x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,10)(1, 10) satisfies the first inequality y>x+5y > x + 5.\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality.\newline10>1+510 > 1 + 5\newline10>610 > 6\newlineThis is true.
  2. Check Second Inequality: Check if (1,10)(1, 10) satisfies the second inequality y>8x+1y > 8x + 1.\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality.\newline10>8×1+110 > 8 \times 1 + 1\newline10>910 > 9\newlineThis is also true.
  3. Solution Verification: Since (1,10)(1, 10) satisfies both inequalities, it is a solution to the system.

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