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Does (3, 8)(3,\ 8) make the inequality y≥7x+4y \geq 7x + 4 true?\newlineChoices:\newline(A) yes\newline(B) no

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Q. Does (3, 8)(3,\ 8) make the inequality y≥7x+4y \geq 7x + 4 true?\newlineChoices:\newline(A) yes\newline(B) no
  1. Substitute values into inequality: Substitute the values 3,83, 8 into the inequality y≥7x+4y \geq 7x + 4. The substituted inequality is 8≥7(3)+48 \geq 7(3) + 4.
  2. Calculate right side: Calculate the right side of the inequality 7(3)+47(3) + 4. Simplify 7(3)7(3) to get 2121 and then add 44 to get 2525.
  3. Determine if point satisfies inequality: The inequality 8≥7(3)+48 \geq 7(3) + 4 becomes 8≥258 \geq 25. Now, determine if the point (3,8)(3, 8) makes the inequality y≥7x+4y \geq 7x + 4 true. 8≥258 \geq 25 is a false statement. Therefore, the point (3,8)(3, 8) does not make the inequality y≥7x+4y \geq 7x + 4 true.

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