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Is (2, 9)(2,\,9) a solution to this system of inequalities?\newline12x + 19y > 15\newline17x + y > 13\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (2, 9)(2,\,9) a solution to this system of inequalities?\newline12x+19y>1512x + 19y > 15\newline17x+y>1317x + y > 13\newlineChoices:\newline(A)yes\newline(B)no
  1. Check First Inequality: Does the point (2,9)(2, 9) satisfy the inequality 12x + 19y > 15?\newlineSubstitute 22 for xx and 99 for yy in 12x + 19y > 15.\newline12(2) + 19(9) > 15\newline24 + 171 > 15\newline195 > 15\newlineSince 195 > 15 is true, (2,9)(2, 9) satisfies the first inequality.
  2. Check Second Inequality: Does the point (2,9)(2, 9) satisfy the inequality 17x + y > 13?\newlineSubstitute 22 for xx and 99 for yy in 17x + y > 13.\newline17(2) + 9 > 13\newline34 + 9 > 13\newline43 > 13\newlineSince 43 > 13 is true, (2,9)(2, 9) satisfies the second inequality.
  3. Verify Solution: Is (2,9)(2, 9) a solution to the system of inequalities?\newlineSince (2,9)(2, 9) satisfies both inequalities:\newline195 > 15\newline43 > 13\newlineWe can conclude that (2,9)(2, 9) is indeed a solution to the system of inequalities.

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