Answer :
To determine which of the given inequalities is false, let's evaluate each one step by step.
1. Evaluate [tex]\(6.881 > 6.429\)[/tex]:
- Compare the numbers.
- [tex]\(6.881\)[/tex] is indeed greater than [tex]\(6.429\)[/tex].
- Therefore, this inequality is true.
2. Evaluate [tex]\(1.224 > 1.242\)[/tex]:
- Compare the numbers.
- [tex]\(1.224\)[/tex] is not greater than [tex]\(1.242\)[/tex]; in fact, [tex]\(1.224\)[/tex] is less than [tex]\(1.242\)[/tex].
- Therefore, this inequality is false.
3. Evaluate [tex]\(7.401 < 7.411\)[/tex]:
- Compare the numbers.
- [tex]\(7.401\)[/tex] is indeed less than [tex]\(7.411\)[/tex].
- Therefore, this inequality is true.
4. Evaluate [tex]\(3.391 < 3.42\)[/tex]:
- Compare the numbers.
- [tex]\(3.391\)[/tex] is indeed less than [tex]\(3.42\)[/tex].
- Therefore, this inequality is true.
After evaluating each presented inequality, we find that the inequality [tex]\(1.224 > 1.242\)[/tex] is false. Hence, the false inequality among the given options is:
[tex]\[ \boxed{1.224 > 1.242} \][/tex]
1. Evaluate [tex]\(6.881 > 6.429\)[/tex]:
- Compare the numbers.
- [tex]\(6.881\)[/tex] is indeed greater than [tex]\(6.429\)[/tex].
- Therefore, this inequality is true.
2. Evaluate [tex]\(1.224 > 1.242\)[/tex]:
- Compare the numbers.
- [tex]\(1.224\)[/tex] is not greater than [tex]\(1.242\)[/tex]; in fact, [tex]\(1.224\)[/tex] is less than [tex]\(1.242\)[/tex].
- Therefore, this inequality is false.
3. Evaluate [tex]\(7.401 < 7.411\)[/tex]:
- Compare the numbers.
- [tex]\(7.401\)[/tex] is indeed less than [tex]\(7.411\)[/tex].
- Therefore, this inequality is true.
4. Evaluate [tex]\(3.391 < 3.42\)[/tex]:
- Compare the numbers.
- [tex]\(3.391\)[/tex] is indeed less than [tex]\(3.42\)[/tex].
- Therefore, this inequality is true.
After evaluating each presented inequality, we find that the inequality [tex]\(1.224 > 1.242\)[/tex] is false. Hence, the false inequality among the given options is:
[tex]\[ \boxed{1.224 > 1.242} \][/tex]
