Choose the correct option for the following statement.
- The given statement is true.
- The given statement is false.
- Incomplete information
- None of these
Solution:
The correct option is
1
The given statement is true.
For any element $\mathrm{a}, \mathrm{b}, \mathrm{c} \in \mathrm{A}$, associative property states that
$\mathrm{a}(\mathrm{bc})=(\mathrm{ab}) \mathrm{c}$
Take $\mathrm{a}=\frac{1}{3}, \mathrm{~b}=6, \mathrm{c}=\frac{4}{3}$, we get
$\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)=\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$
Hence, the statement is true.