Answer :
To determine which of the given statements is true, we need to evaluate each statement individually. Let's analyze them one by one.
1. [tex]\(0.61 > 0.93\)[/tex]:
- When comparing the two numbers 0.61 and 0.93, we can see that 0.61 is less than 0.93.
- Therefore, the statement [tex]\(0.61 > 0.93\)[/tex] is false.
2. [tex]\(1.548 < 0.698\)[/tex]:
- When comparing the two numbers 1.548 and 0.698, we can see that 1.548 is greater than 0.698.
- Therefore, the statement [tex]\(1.548 < 0.698\)[/tex] is false.
3. [tex]\(0.83 > 0.94\)[/tex]:
- When comparing the two numbers 0.83 and 0.94, we can see that 0.83 is less than 0.94.
- Therefore, the statement [tex]\(0.83 > 0.94\)[/tex] is false.
4. [tex]\(0.74 < 0.80\)[/tex]:
- When comparing the two numbers 0.74 and 0.80, we can see that 0.74 is indeed less than 0.80.
- Therefore, the statement [tex]\(0.74 < 0.80\)[/tex] is true.
After evaluating all the statements, we find that the only true statement is [tex]\(0.74 < 0.80\)[/tex]. Therefore, the correct answer is:
The fourth statement is true.
1. [tex]\(0.61 > 0.93\)[/tex]:
- When comparing the two numbers 0.61 and 0.93, we can see that 0.61 is less than 0.93.
- Therefore, the statement [tex]\(0.61 > 0.93\)[/tex] is false.
2. [tex]\(1.548 < 0.698\)[/tex]:
- When comparing the two numbers 1.548 and 0.698, we can see that 1.548 is greater than 0.698.
- Therefore, the statement [tex]\(1.548 < 0.698\)[/tex] is false.
3. [tex]\(0.83 > 0.94\)[/tex]:
- When comparing the two numbers 0.83 and 0.94, we can see that 0.83 is less than 0.94.
- Therefore, the statement [tex]\(0.83 > 0.94\)[/tex] is false.
4. [tex]\(0.74 < 0.80\)[/tex]:
- When comparing the two numbers 0.74 and 0.80, we can see that 0.74 is indeed less than 0.80.
- Therefore, the statement [tex]\(0.74 < 0.80\)[/tex] is true.
After evaluating all the statements, we find that the only true statement is [tex]\(0.74 < 0.80\)[/tex]. Therefore, the correct answer is:
The fourth statement is true.
