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Is (3, 3)(3,\,3) a solution to this system of inequalities?\newlinex+2y≥9x + 2y \geq 9\newline2x+2y≤122x + 2y \leq 12\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3, 3)(3,\,3) a solution to this system of inequalities?\newlinex+2y≥9x + 2y \geq 9\newline2x+2y≤122x + 2y \leq 12\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (3,3)(3, 3) satisfies the first inequality x+2y≥9x + 2y \geq 9. Substitute x=3x = 3 and y=3y = 3 into the inequality. 3+2(3)≥93 + 2(3) \geq 9 3+6≥93 + 6 \geq 9 9≥99 \geq 9 The point (3,3)(3, 3) satisfies the first inequality.
  2. Check Second Inequality: Check if (3,3)(3, 3) satisfies the second inequality 2x+2y≤122x + 2y \leq 12. Substitute x=3x = 3 and y=3y = 3 into the inequality. 2(3)+2(3)≤122(3) + 2(3) \leq 12 6+6≤126 + 6 \leq 12 12≤1212 \leq 12 The point (3,3)(3, 3) satisfies the second inequality.
  3. Solution Verification: Since (3,3)(3, 3) satisfies both inequalities, it is a solution to the system.

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