Conjunction Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Determine the truth value of: (a) '3>23 > 2 and 3<53 < 5', (b) '3>23 > 2 and 3>53 > 5'.

Solution

  1. 1
    (a) 3>23 > 2 is true. 3<53 < 5 is true. True AND True = True.
  2. 2
    (b) 3>23 > 2 is true. 3>53 > 5 is false. True AND False = False.

Answer

(a)  True,(b)  False(a)\;\text{True},\quad (b)\;\text{False}
A conjunction requires both parts to be true. One false component makes the whole conjunction false.

About Conjunction

A conjunction P∧QP \wedge Q is a compound statement that is true if and only if both constituent statements PP and QQ are individually true.

Learn more about Conjunction →

More Conjunction Examples

Example 1 easy

Let [formula]: '[formula] is even' and [formula]: '[formula]'. Evaluate [formula], [formula], and [f

Example 2 medium

Construct the full truth table for [formula] and use it to show that conjunction is commutative: [fo

Example 4 medium

Simplify: find all [formula] satisfying '[formula] and [formula]', and express as an interval.

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