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Is (4, 1)(4,\,1) a solution to the inequality 2x+6y>142x + 6y > 14 ?\newlineChoices:\newline(A)yes\newline(B)no

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Q. Is (4, 1)(4,\,1) a solution to the inequality 2x+6y>142x + 6y > 14 ?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values (4,1)(4, 1) into the inequality 2x+6y>142x + 6y > 14. The substituted inequality is 2(4)+6(1)>142(4) + 6(1) > 14.
  2. Calculate left side: Calculate the left side of the inequality 2(4)+6(1)2(4) + 6(1). This simplifies to 8+68 + 6, which equals 1414.
  3. Compare with right side: Compare the calculated value with the right side of the inequality. We have 14>1414 > 14, which is not true because 1414 is not greater than 1414.
  4. Check if inequality is true: Since 1414 is not greater than 1414, the point (4,1)(4, 1) does not make the inequality 2x+6y>142x + 6y > 14 true. Therefore, the answer is no.

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