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Is (4,9)(4,\,9) a solution to this system of inequalities?\newlineyx+5y \leq x + 5\newliney < 7x + 1\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4,9)(4,\,9) a solution to this system of inequalities?\newlineyx+5y \leq x + 5\newliney<7x+1y < 7x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point Satisfaction: Check if the point (4,9)(4, 9) satisfies the inequality yx+5y \leq x + 5.\newlineSubstitute 44 for xx and 99 for yy in the inequality yx+5y \leq x + 5.\newline94+59 \leq 4 + 5\newline999 \leq 9\newlineSince 999 \leq 9 is true, the point (4,9)(4, 9) satisfies the inequality yx+5y \leq x + 5.
  2. Check Inequality: Check if the point (4,9)(4, 9) satisfies the inequality y < 7x + 1.\newlineSubstitute 44 for xx and 99 for yy in the inequality y < 7x + 1.\newline9 < 7(4) + 1\newline9 < 28 + 1\newline9 < 29\newlineSince 9 < 29 is true, the point (4,9)(4, 9) satisfies the inequality y < 7x + 1.
  3. Determine Solution: Determine if the point (4,9)(4, 9) is a solution to the system of inequalities.\newlineSince the point (4,9)(4, 9) satisfies both inequalities yx+5y \leq x + 5 and y < 7x + 1, it is a solution to the system of inequalities.

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