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Is (4, 8)(4,\,8) a solution to this system of inequalities?\newlinex≥4x \geq 4\newliney≤x+4y \leq x + 4\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4, 8)(4,\,8) a solution to this system of inequalities?\newlinex≥4x \geq 4\newliney≤x+4y \leq x + 4\newlineChoices:\newline(A)yes\newline(B)no
  1. Check x≥4x \geq 4: Check if the point (4,8)(4, 8) satisfies the inequality x≥4x \geq 4.\newlineSubstitute 44 for xx.\newline4≥44 \geq 4\newlineSince 44 is equal to 44, the inequality holds true.
  2. Check y≤x+4y \leq x + 4: Check if the point (4,8)(4, 8) satisfies the inequality y≤x+4y \leq x + 4. Substitute 44 for xx and 88 for yy. 8≤4+48 \leq 4 + 4 8≤88 \leq 8 Since 88 is equal to 88, the inequality holds true.
  3. Determine solution to system: Determine if (4,8)(4, 8) is a solution to the system of inequalities.\newlineSince (4,8)(4, 8) satisfies both inequalities x≥4x \geq 4 and y≤x+4y \leq x + 4, it is a solution to the system.

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