Question

For which values of k would the product of k/3 x 12 be greater thatn 12?A 1 6/8B 1 7/8C 3 7/8D 61/8

Answer 1

C and D

Step-by-step explanation

The product of k/3 x 12 be greater than 12 gives the linear inequality:

`(k)/(3)*12>12`

Multiply both sides of the inequality by 3

`\begin{gathered} 3*(k)/(3)*12>3*12 \\ 12k>36 \\ \text{Divide both sides by 12} \\ (12k)/(12)>(36)/(12) \\ k>3 \end{gathered}`

This implies the values of k must be greater than 3.

From the options given, only options C. 3 7/8 and D. 61/8 are greater than 3

Hence, the correct answers are C 3 7/8 and D 61/8