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Is (4,10)(4,\,10) a solution to this system of inequalities?\newliney>x+4y > x + 4\newliney2x+1y \geq 2x + 1\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (4,10)(4,\,10) a solution to this system of inequalities?\newliney>x+4y > x + 4\newliney2x+1y \geq 2x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Solution for 4,104, 10: Check if 4,104, 10 satisfies y>x+4y > x + 4.\newlineSubstitute x=4x = 4 and y=10y = 10 into the inequality.\newline10>4+410 > 4 + 4\newline10>810 > 8\newlineThis is true.
  2. Verify Inequality for (4,10)(4, 10): Check if (4,10)(4, 10) satisfies y2x+1y \geq 2x + 1.\newlineSubstitute x=4x = 4 and y=10y = 10 into the inequality.\newline102×4+110 \geq 2 \times 4 + 1\newline108+110 \geq 8 + 1\newline10910 \geq 9\newlineThis is also true.

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