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Is (8, 10)(8,\,10) a solution to this system of inequalities?\newliney≥x+2y \geq x + 2\newliney<10x+2y < 10x + 2\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (8, 10)(8,\,10) a solution to this system of inequalities?\newliney≥x+2y \geq x + 2\newliney<10x+2y < 10x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (8,10)(8, 10): Check if the point (8,10)(8, 10) satisfies the inequality y≥x+2y \geq x + 2.\newlineSubstitute x=8x = 8 and y=10y = 10 into the inequality.\newline10≥8+210 \geq 8 + 2\newline10≥1010 \geq 10\newlineThe point (8,10)(8, 10) satisfies the first inequality.
  2. Check Inequality y≥x+2y \geq x + 2: Check if the point (8,10)(8, 10) satisfies the inequality y<10x+2y < 10x + 2. Substitute x=8x = 8 and y=10y = 10 into the inequality. 10<10×8+210 < 10 \times 8 + 2 10<80+210 < 80 + 2 10<8210 < 82 The point (8,10)(8, 10) satisfies the second inequality.
  3. Check Point (8,10)(8, 10): Since the point (8,10)(8, 10) satisfies both inequalities, it is a solution to the system.

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