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Is (1, 1)(1,\,1) a solution to this system of inequalities?\newline9x+y≥59x + y \geq 5\newline3x+17y≥203x + 17y \geq 20\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 1)(1,\,1) a solution to this system of inequalities?\newline9x+y≥59x + y \geq 5\newline3x+17y≥203x + 17y \geq 20\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,1)(1, 1) satisfies the first inequality: 9x+y≥59x + y \geq 5. Substitute x=1x = 1 and y=1y = 1. 9(1)+1≥59(1) + 1 \geq 5 9+1≥59 + 1 \geq 5 10≥510 \geq 5 The point (1,1)(1, 1) satisfies the first inequality.
  2. Check Second Inequality: Check if (1,1)(1, 1) satisfies the second inequality: 3x+17y≥203x + 17y \geq 20. Substitute x=1x = 1 and y=1y = 1. 3(1)+17(1)≥203(1) + 17(1) \geq 20 3+17≥203 + 17 \geq 20 20≥2020 \geq 20 The point (1,1)(1, 1) satisfies the second inequality.
  3. Solution Verification: Since (1,1)(1, 1) satisfies both inequalities, it is a solution to the system.

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