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Sagot :
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]
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]
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