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Is (1, 1)(1,\ 1) a solution to this system of inequalities?\newline5x+8y145x + 8y \leq 14\newlinex + 12y < 18\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1, 1)(1,\ 1) a solution to this system of inequalities?\newline5x+8y145x + 8y \leq 14\newlinex+12y<18x + 12y < 18\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,1)(1, 1): Does the point (1,1)(1, 1) satisfy the inequality 5x+8y145x + 8y \leq 14?\newlineSubstitute 11 for xx and 11 for yy in 5x+8y145x + 8y \leq 14.\newline5(1)+8(1)145(1) + 8(1) \leq 14\newline5+8145 + 8 \leq 14\newline(1,1)(1, 1)00\newlineSince (1,1)(1, 1)00 is true, (1,1)(1, 1) satisfies the inequality 5x+8y145x + 8y \leq 14.
  2. Verify Inequality 11: Does the point (1,1)(1, 1) satisfy the inequality x + 12y < 18?\newlineSubstitute 11 for xx and 11 for yy in x + 12y < 18.\newline1 + 12(1) < 18\newline1 + 12 < 18\newline13 < 18\newlineSince 13 < 18 is true, (1,1)(1, 1) satisfies the inequality x + 12y < 18.
  3. Verify Inequality 22: Is (1,1)(1, 1) a solution to the system of inequalities?\newlineSince (1,1)(1, 1) satisfies both inequalities 5x+8y145x + 8y \leq 14 and x + 12y < 18, it is a solution to the system of inequalities.

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