Question \#5

Determine whether the compound condition is True or False.

1. [tex]2 \ \textless \ 3[/tex] and [tex]5 \ \textless \ 1[/tex] [ ] True [ ] False
2. [tex]3 \ \textless \ 3[/tex] or [tex]1 \leq 1[/tex] [ ] True [ ] False
3. not [tex](2 == 3)[/tex] [ ] True [ ] False



Answer :

Sure, let's evaluate each of the conditions step-by-step:

1. Condition 1: [tex]$2 < 3$[/tex] and [tex]$5 < 1$[/tex]
- First, evaluate [tex]$2 < 3$[/tex] which is True.
- Then, evaluate [tex]$5 < 1$[/tex] which is False.
- Using the logical "and," the compound condition [tex]$2 < 3$[/tex] and [tex]$5 < 1$[/tex] is False because one part of the "and" condition is False.

2. Condition 2: [tex]$3 < 3$[/tex] or [tex]$1 \leq 1$[/tex]
- First, evaluate [tex]$3 < 3$[/tex] which is False.
- Then, evaluate [tex]$1 \leq 1$[/tex] which is True.
- Using the logical "or," the compound condition [tex]$3 < 3$[/tex] or [tex]$1 \leq 1$[/tex] is True because at least one part of the "or" condition is True.

3. Condition 3: not [tex]$(2 == 3)$[/tex]
- First, evaluate [tex]$2 == 3$[/tex] which is False.
- Then, apply the "not" operator: not False which is True.

Based on these evaluations:
- The result for [tex]$2<3 \text{ and } 5<1$[/tex] is False.
- The result for [tex]$3<3 \text{ or } 1 \leq 1$[/tex] is True.
- The result for not [tex]$(2 == 3)$[/tex] is True.

Therefore, the answers are:
- The answer for [tex]$2 < 3$[/tex] and [tex]$5 < 1$[/tex] is False.
- The answer for [tex]$3 < 3$[/tex] or [tex]$1 \leq 1$[/tex] is True.
- The answer for not [tex]$(2 == 3)$[/tex] is True.

Thus, the results are:
- [tex]$2 < 3 \text{ and } 5 < 1$[/tex] ✔️ False
- [tex]$3 < 3 \text{ or } 1 \leq 1$[/tex] ✔️ True
- not [tex]$(2 == 3)$[/tex] ✔️ True