Practice Conjunction in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A conjunction is a compound statement that is true if and only if both constituent statements and are individually true.
To enter a theme park ride, you must be tall enough AND have a valid ticket—both conditions must hold. If you are tall enough but lost your ticket, you cannot ride. A conjunction works the same way: it is true only when every single part is true, and false the moment any part fails.
Showing a random 20 of 50 problems.
Example 1
easyEvaluate: ' AND '.
Example 2
mediumTranslate to logic and evaluate: ' and is positive'.
Example 3
mediumShow (idempotence).
Example 4
challengeFind all integers with satisfying ' is divisible by AND is divisible by '.
Example 5
easyIf both and are false, what is ?
Example 6
easyHow many rows of the truth table for are TRUE?
Example 7
mediumFor ' AND ', find all real .
Example 8
challengeShow '' equals '' (distributivity).
Example 9
easyLet : ' is even' and : ''. Evaluate , , and .
Example 10
easyWhat is the symbol for logical AND?
Example 11
mediumFor what is ' AND ' true? Express as an interval.
Example 12
mediumDetermine the truth value of: ' is irrational AND '.
Example 13
mediumConstruct the full truth table for and use it to show that conjunction is commutative: .
Example 14
easyTranslate to symbols: 'It is raining AND it is cold.' Let = raining, = cold.
Example 15
mediumEvaluate '' where : ' is divisible by ' and : ' is divisible by '.
Example 16
easyIn everyday speech 'tall enough AND has a ticket', can you ride with only a ticket?
Example 17
easyHow many of the 4 truth-table rows make true?
Example 18
easyEvaluate: ' is even AND is prime'.
Example 19
easyIn set theory, which operation matches logical AND on predicates?
Example 20
easyDetermine the truth value of: (a) ' and ', (b) ' and '.