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Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney4x+5y \geq 4x + 5\newlineyx+9y \geq x + 9\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newliney4x+5y \geq 4x + 5\newlineyx+9y \geq x + 9\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,10)(1, 10): Check if the point (1,10)(1, 10) satisfies the inequality y4x+5y \geq 4x + 5. Substitute x=1x = 1 and y=10y = 10 into the inequality. 104(1)+510 \geq 4(1) + 5 104+510 \geq 4 + 5 10910 \geq 9 Since 1010 is greater than or equal to 99, the point (1,10)(1, 10) satisfies the first inequality.
  2. Check Inequality y4x+5y \geq 4x + 5: Check if the point (1,10)(1, 10) satisfies the inequality yx+9y \geq x + 9. Substitute x=1x = 1 and y=10y = 10 into the inequality. 101+910 \geq 1 + 9 101010 \geq 10 Since 1010 is equal to 1010, the point (1,10)(1, 10) also satisfies the second inequality.
  3. Check Inequality yx+9y \geq x + 9: Determine if (1,10)(1, 10) is a solution to the system of inequalities.\newlineSince the point (1,10)(1, 10) satisfies both inequalities y4x+5y \geq 4x + 5 and yx+9y \geq x + 9, it is a solution to the system of inequalities.

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