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Which of the following is false?

A. [tex]\(6.881 \ \textgreater \ 6.429\)[/tex]

B. [tex]\(1.224 \ \textgreater \ 1.242\)[/tex]

C. [tex]\(7.401 \ \textless \ 7.411\)[/tex]

D. [tex]\(3.391 \ \textless \ 3.42\)[/tex]

Sagot :

GinnyAnswer
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]
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