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Is (1, 9)(1,\,9) a solution to this system of inequalities?\newliney≤x+10y \leq x + 10\newliney≤6x+3y \leq 6x + 3\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 9)(1,\,9) a solution to this system of inequalities?\newliney≤x+10y \leq x + 10\newliney≤6x+3y \leq 6x + 3\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality 11: Check if (1,9)(1, 9) satisfies the first inequality y≤x+10y \leq x + 10. Substitute x=1x = 1 and y=9y = 9. 9≤1+109 \leq 1 + 10 9≤119 \leq 11
  2. Check Inequality 22: Check if (1,9)(1, 9) satisfies the second inequality y≤6x+3y \leq 6x + 3.\newlineSubstitute x=1x = 1 and y=9y = 9.\newline9≤6×1+39 \leq 6 \times 1 + 3\newline9≤6+39 \leq 6 + 3\newline9≤99 \leq 9
  3. Solution Verification: Since (1,9)(1, 9) satisfies both inequalities, it is a solution to the system.

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