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Does the point (7, 1)(7,\,1) satisfy the inequality 14x+16y≤614x + 16y \leq 6 ?\newlineChoices:\newline(A)yes\newline(B)no

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Q. Does the point (7, 1)(7,\,1) satisfy the inequality 14x+16y≤614x + 16y \leq 6 ?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values into inequality: Substitute the values (7,1)(7, 1) into the inequality 14x+16y≤614x + 16y \leq 6. The substituted inequality is 14(7)+16(1)≤614(7) + 16(1) \leq 6.
  2. Calculate left side: Calculate the left side of the inequality 14(7)+16(1)14(7) + 16(1). Simplify it to get 98+1698 + 16.
  3. Add numbers together: Add the numbers together to get 98+16=11498 + 16 = 114.
  4. Compare with right side: Compare the result from Step 33 with the right side of the inequality. We have 114≤6114 \leq 6. Determine if this statement is true or false.
  5. Determine statement truth: Since 114114 is not less than or equal to 66, the statement 114≤6114 \leq 6 is false. Therefore, the point (7,1)(7, 1) does not satisfy the inequality 14x+16y≤614x + 16y \leq 6.

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