What must the truth values of ๐‘๐‘ and ๐‘ž๐‘ž be in order to make the sentence ๐‘โ†’ยฌ๐‘ž๐‘โ†’ยฌ๐‘ž false?

Question

What must the truth values of ๐‘๐‘ and ๐‘ž๐‘ž be in order to make the sentence ๐‘โ†’ยฌ๐‘ž๐‘โ†’ยฌ๐‘ž false?
๐Ÿง Not the exact question you are looking for?Go ask a question

Solution 1

In order for the sentence ๐‘โ†’ยฌ๐‘ž to be false, the truth values of ๐‘ and ๐‘ž must be such that ๐‘ is true and ๐‘ž is also true. This is because the implication ๐‘โ†’ยฌ๐‘ž is only false when ๐‘ is true and ยฌ๐‘ž (not ๐‘ž) is false, which happens when ๐‘ž is true. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-pow

study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a pow

This problem has been solved

Similar Questions

What must the truth values of ๐‘๐‘ and ๐‘ž๐‘ž be in order to make the sentence ๐‘โ†’ยฌ๐‘ž๐‘โ†’ยฌ๐‘ž false?

Show that ยฌ(๐‘ โˆจ (ยฌ๐‘ โˆง ๐‘ž)) and ยฌ๐‘ โˆง ยฌ๐‘ž are logically equivalent by:a) Using a truth table (3 POINTS)b) Using logical equivalences

Find the truth value of the compound proposition when ๐‘=๐‘Ÿ=๐‘ž=ย True.ย (๐‘ŸโŸท๐‘)โˆงยฌ๐‘žGroup of answer choicesTrueFalse

The expressionย  (4๐‘ฅ13๐‘ฆโˆ’1)32(๐‘ฅ๐‘ฆ)52 can be written in the form ๐‘ร—๐‘ฅ๐‘žร—๐‘ฆ๐‘Ÿ, where ๐‘,๐‘ž,๐‘Ÿ are integers. What is ๐‘+๐‘ž+๐‘Ÿ ? (Give only the numberย as your answer.)

If ๐‘ฅ = 7 โˆ’ 4โˆš3, then the value of โˆš๐‘ฅ + 1โˆš๐‘ฅ :(ii) Prove that :(๐‘ฅ๐‘ž+1๐‘ฅ๐‘+1)๐‘ž+๐‘. (๐‘ฅ๐‘Ÿ+1๐‘ฅ๐‘ž+1)๐‘Ÿ+๐‘ž. (๐‘ฅ๐‘+1๐‘ฅ๐‘Ÿ+1 )๐‘+๐‘Ÿ= 1

1/3