To determine the accuracy of the given statements, we'll evaluate each of the inequalities step by step.
### Inequality (i)
[tex]\[
-\frac{4}{3} > -1.3
\][/tex]
First, let's convert [tex]\(-\frac{4}{3}\)[/tex] and [tex]\(-1.3\)[/tex] into decimal form to simplify comparison:
- [tex]\(-\frac{4}{3}\)[/tex] can be written as [tex]\(-1.333\)[/tex].
So the comparison is:
[tex]\[
-1.333 > -1.3
\][/tex]
When comparing these two negative numbers, we need to remember that a smaller numerical value actually means a larger quantity (since they are both negative). Here, [tex]\(-1.333\)[/tex] is more negative than [tex]\(-1.3\)[/tex], meaning it is actually less than [tex]\(-1.3\)[/tex].
Therefore:
[tex]\[
-1.333 \not> -1.3
\][/tex]
Thus, statement (i) is false.
### Inequality (ii)
[tex]\[
\frac{1}{2} < 0.5
\][/tex]
First, let's convert [tex]\(\frac{1}{2}\)[/tex] into decimal form:
- [tex]\(\frac{1}{2}\)[/tex] is [tex]\(0.5\)[/tex].
So the comparison is:
[tex]\[
0.5 < 0.5
\][/tex]
Clearly, [tex]\(0.5\)[/tex] is not less than [tex]\(0.5\)[/tex]. They are equal.
Therefore:
[tex]\[
0.5 \not< 0.5
\][/tex]
Thus, statement (ii) is also false.
### Conclusion
Both statements (i) and (ii) are false. Therefore, the accurate description of the inequalities is:
[tex]\[
\text{(i) is false and (ii) is false.}
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{(i) \text{ is false and (ii) is false.}}
\][/tex]
