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Is (3, 4)(3,\,4) a solution to this system of inequalities?\newliney<7x+3y < 7x + 3\newliney<x+1y < x + 1\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (3, 4)(3,\,4) a solution to this system of inequalities?\newliney<7x+3y < 7x + 3\newliney<x+1y < x + 1\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Check if the point (3,4)(3, 4) satisfies the first inequality y<7x+3y < 7x + 3.\newlineSubstitute x=3x = 3 and y=4y = 4 into the inequality.\newline4<7(3)+34 < 7(3) + 3\newline4<21+34 < 21 + 3\newline4<244 < 24\newlineThe point (3,4)(3, 4) satisfies the first inequality.
  2. Check Second Inequality: Check if the point (3,4)(3, 4) satisfies the second inequality y<x+1y < x + 1.\newlineSubstitute x=3x = 3 and y=4y = 4 into the inequality.\newline4<3+14 < 3 + 1\newline4<44 < 4\newlineThe point (3,4)(3, 4) does not satisfy the second inequality because 44 is not less than 44.

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