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Is (2, 2)(2,\,2) a solution to this system of inequalities?\newline2x+8y≤202x + 8y \leq 20\newlinex+9y≤20x + 9y \leq 20\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2, 2)(2,\,2) a solution to this system of inequalities?\newline2x+8y≤202x + 8y \leq 20\newlinex+9y≤20x + 9y \leq 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (2,2)(2, 2) satisfies the first inequality 2x+8y≤202x + 8y \leq 20.\newlineSubstitute x=2x = 2 and y=2y = 2.\newline2(2)+8(2)≤202(2) + 8(2) \leq 20\newline4+16≤204 + 16 \leq 20\newline20≤2020 \leq 20, which is true.
  2. Check Second Inequality: Check if (2,2)(2, 2) satisfies the second inequality x+9y≤20x + 9y \leq 20.\newlineSubstitute x=2x = 2 and y=2y = 2.\newline2+9(2)≤202 + 9(2) \leq 20\newline2+18≤202 + 18 \leq 20\newline20≤2020 \leq 20, which is true.
  3. Solution Verification: Since (2,2)(2, 2) satisfies both inequalities, it is a solution to the system.

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