Question

State whether the statement is true or false:

If $9$ is the solution of the variable $\mathrm{x}$ in the equation$\left[\frac{\left(5\mathrm{x}-7\right)}{2}\right]=\mathrm{y}$, then the value of $\mathrm{y}$ is $28$.

• A. True
• B. False

Answer 1

The correct option is B False

Given equation is $\left[\frac{\left(5\mathrm{x}-7\right)}{2}\right]=\mathrm{y}$

Substitute $\mathrm{x}=9$ in the above equation. We get;

$$\begin{gathered} \left[\frac{\left(5\times 9-7\right)}{2}\right]=\mathrm{y} \\ \Rightarrow \left(\frac{45-7}{2}\right)=\mathrm{y} \\ \Rightarrow \frac{38}{2}=\mathrm{y} \\ \Rightarrow \mathrm{y}=19 \end{gathered}$$

Which is not equal to $28$ as given in the question.

Therefore the given statement is false.