Answered

Which of the following statements is false?

A. [tex]1.5 \ \textgreater \ 1.4[/tex]

B. [tex]6.5 \ \textless \ 6.05[/tex]

C. [tex]9.12 \ \textgreater \ 9.02[/tex]

D. [tex]3.0 = 3[/tex]



Answer :

To identify which of the given statements is false, let's evaluate each statement one by one.

1. [tex]\(1.5 > 1.4\)[/tex]:
- Compare the numbers [tex]\(1.5\)[/tex] and [tex]\(1.4\)[/tex].
- [tex]\(1.5\)[/tex] is indeed greater than [tex]\(1.4\)[/tex].
- Therefore, this statement is true.

2. [tex]\(6.5 < 6.05\)[/tex]:
- Compare the numbers [tex]\(6.5\)[/tex] and [tex]\(6.05\)[/tex].
- [tex]\(6.5\)[/tex] is greater than [tex]\(6.05\)[/tex], not less.
- Therefore, this statement is false.

3. [tex]\(9.12 > 9.02\)[/tex]:
- Compare the numbers [tex]\(9.12\)[/tex] and [tex]\(9.02\)[/tex].
- [tex]\(9.12\)[/tex] is indeed greater than [tex]\(9.02\)[/tex].
- Therefore, this statement is true.

4. [tex]\(3.0 = 3\)[/tex]:
- Compare the numbers [tex]\(3.0\)[/tex] and [tex]\(3\)[/tex].
- Both these numbers are equal.
- Therefore, this statement is true.

So, after evaluating each statement, we find that the false statement among the given options is the second one:

[tex]\[6.5 < 6.05\][/tex]

Thus, the false statement is:

[tex]\[ \boxed{2} \][/tex]