Question

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

Answer 1

SOLUTION

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

$\begin{gathered} 7\times\frac{n}{4}>7 \\ \\ \frac{7n}{4}>7 \\ \\ \frac{7n}{4}>\frac{7}{1} \\ \\ 7n>7\times4 \\ \frac{7n}{7}>\frac{7\times4}{7} \\ \text{dividing by 7} \\ n>4 \end{gathered}$

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

16B. The relationship between a and b

$\begin{gathered} 7\times\frac{a}{b}=7 \\ \\ \frac{7a}{b}=\frac{7}{1} \\ \text{cross multiplying we have } \\ 7a=\text{ 7b} \\ \frac{7a}{7}=\frac{7b}{7} \\ \text{dividing through by 7} \\ a\text{ = b} \end{gathered}$

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

a = b