Question

16A)Describe the relationship between n and 4 that will make the value of theexpression 7 * greater than 7.

Answer 1

16A. We want to find the relationship between n and 4 in

`\begin{gathered} 7*(n)/(4)>7 \\ \\ (7n)/(4)>7 \\ \\ (7n)/(4)>(7)/(1) \\ \\ 7n>7*4 \\ (7n)/(7)>(7*4)/(7) \\ \text{dividing by 7} \\ n>4 \end{gathered}`

Therefore, the relationship between n and 4 is that n must be greater than 4

16B. The relationship between a and b

`\begin{gathered} 7*(a)/(b)=7 \\ \\ (7a)/(b)=(7)/(1) \\ \text{cross multiplying we have } \\ 7a=\text{ 7b} \\ (7a)/(7)=(7b)/(7) \\ \text{dividing through by 7} \\ a\text{ = b} \end{gathered}`

Therefore the relationship between a and b is that a must be equal to b

a = b