Let's go through each comparison step-by-step:
1. First Comparison:
[tex]\[
1.436 > \frac{25}{2}
\][/tex]
Here, we need to compare 1.436 with [tex]\( \frac{25}{2} \)[/tex]. The value of [tex]\( \frac{25}{2} \)[/tex] is 12.5.
[tex]\[
1.436 < 12.5
\][/tex]
Therefore, the statement [tex]\( 1.436 > \frac{25}{2} \)[/tex] is False.
2. Second Comparison:
[tex]\[
1.75 > \frac{3}{2}
\][/tex]
Here, we need to compare 1.75 with [tex]\( \frac{3}{2} \)[/tex]. The value of [tex]\( \frac{3}{2} \)[/tex] is 1.5.
[tex]\[
1.75 > 1.5
\][/tex]
Therefore, the statement [tex]\( 1.75 > \frac{3}{2} \)[/tex] is True.
3. Third Comparison:
[tex]\[
0.25 \neq \frac{1}{4}
\][/tex]
Here, we need to compare 0.25 with [tex]\( \frac{1}{4} \)[/tex]. The value of [tex]\( \frac{1}{4} \)[/tex] is 0.25.
[tex]\[
0.25 = 0.25
\][/tex]
Since 0.25 is equal to [tex]\( \frac{1}{4} \)[/tex], the statement [tex]\( 0.25 \neq \frac{1}{4} \)[/tex] is False.
4. Fourth Comparison:
[tex]\[
0.2185 = \frac{1}{3}
\][/tex]
Here, we need to compare 0.2185 with [tex]\( \frac{1}{3} \)[/tex]. The value of [tex]\( \frac{1}{3} \)[/tex] is approximately 0.3333.
[tex]\[
0.2185 \neq 0.3333
\][/tex]
Therefore, the statement [tex]\( 0.2185 = \frac{1}{3} \)[/tex] is False.
So, summarizing, the true statements are evaluated as follows:
1. [tex]\( 1.436 > \frac{25}{2} \)[/tex] is False.
2. [tex]\( 1.75 > \frac{3}{2} \)[/tex] is True.
3. [tex]\( 0.25 \neq \frac{1}{4} \)[/tex] is False.
4. [tex]\( 0.2185 = \frac{1}{3} \)[/tex] is False.
Hence, the correct and only true statement is:
[tex]\[
1.75 > \frac{3}{2}
\][/tex]
So the result is:
[tex]\[
(False, True, False, False)
\][/tex]
