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Does the point (2, 4)(2,\ 4) satisfy the inequality yx+3y \geq x + 3?\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Does the point (2, 4)(2,\ 4) satisfy the inequality yx+3y \geq x + 3?\newlineChoices:\newline(A)yes\newline(B)no
  1. Substitute values: Substitute the values of the point (2,4)(2, 4) into the inequality yx+3y \geq x + 3. The substituted inequality is 42+34 \geq 2 + 3.
  2. Perform addition: Perform the addition on the right side of the inequality 2+32 + 3 to get 55.
  3. Check for truth: The inequality now reads 454 \geq 5. Determine if this is a true statement.
  4. Evaluate satisfaction: Since 44 is not greater than or equal to 55, the statement 454 \geq 5 is false. Therefore, the point (2,4)(2, 4) does not satisfy the inequality yx+3y \geq x + 3.

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