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Is (1, 1)(1,\,1) a solution to this system of inequalities?\newlinex+10y≥12x + 10y \geq 12\newline2x+14y≥162x + 14y \geq 16\newlineChoices:\newline(A)yes\newline(B)no

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Full solution

Q. Is (1, 1)(1,\,1) a solution to this system of inequalities?\newlinex+10y≥12x + 10y \geq 12\newline2x+14y≥162x + 14y \geq 16\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if (1,1)(1, 1) satisfies the first inequality: x+10y≥12x + 10y \geq 12. Substitute x=1x = 1 and y=1y = 1. 1+10×1≥121 + 10 \times 1 \geq 12 11≥1211 \geq 12 This is false.
  2. Check Second Inequality: Since (1,1)(1, 1) does not satisfy the first inequality, no need to check the second inequality.\newline(1,1)(1, 1) is not a solution to the system of inequalities.

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