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Is (1,7)(1,\,7) a solution to this system of inequalities?\newline7x + y < 18\newline2x + 2y < 19\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,7)(1,\,7) a solution to this system of inequalities?\newline7x+y<187x + y < 18\newline2x+2y<192x + 2y < 19\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,7)(1, 7): Does the point (1,7)(1, 7) satisfy the inequality 7x + y < 18?\newlineSubstitute x=1x = 1 and y=7y = 7 in the inequality 7x + y < 18.\newline7(1) + 7 < 18\newline7 + 7 < 18\newline14 < 18\newlineThe point (1,7)(1, 7) satisfies the inequality 7x + y < 18.
  2. Verify Inequality 2x+2y2x + 2y: Does the point (1,7)(1, 7) satisfy the inequality 2x + 2y < 19?\newlineSubstitute x=1x = 1 and y=7y = 7 in the inequality 2x + 2y < 19.\newline2(1) + 2(7) < 19\newline2 + 14 < 19\newline16 < 19\newlineThe point (1,7)(1, 7) satisfies the inequality 2x + 2y < 19.
  3. Confirm Solution to System: Is (1,7)(1, 7) a solution to the system of inequalities?\newlineSince (1,7)(1, 7) satisfies both inequalities 7x + y < 18 and 2x + 2y < 19, it is a solution to the system of inequalities.

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