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Is (1,5)(1,\,5) a solution to this system of inequalities?\newline5x+3y205x + 3y \geq 20\newlinex + y < 6\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (1,5)(1,\,5) a solution to this system of inequalities?\newline5x+3y205x + 3y \geq 20\newlinex+y<6x + y < 6\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Inequality Satisfaction: Does the point (1,5)(1, 5) satisfy the inequality 5x+3y205x + 3y \geq 20?\newlineSubstitute x=1x = 1 and y=5y = 5 into the inequality 5x+3y205x + 3y \geq 20.\newline5(1)+3(5)205(1) + 3(5) \geq 20\newline5+15205 + 15 \geq 20\newline202020 \geq 20\newlineThe point (1,5)(1, 5) satisfies the inequality 5x+3y205x + 3y \geq 20.
  2. Verify Inequality for (1,5)(1, 5): Does the point (1,5)(1, 5) satisfy the inequality x + y < 6?\newlineSubstitute x=1x = 1 and y=5y = 5 into the inequality x + y < 6.\newline1 + 5 < 6\newline6 < 6\newlineThis is not true; the point (1,5)(1, 5) does not satisfy the inequality x + y < 6.

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