Question 30
Consider the statements:
$(1)$ $p$ and $q$ are both true
$(2)$ $p$ is true and $q$ is false
$(3)$ $p$ is false and $q$ is true
$(4)$ $p$ is false and $q$ is false.
How many of these imply the negation of the statement “$p$ and $q$ are both true”?
$(1)$ $p$ and $q$ are both true
$(2)$ $p$ is true and $q$ is false
$(3)$ $p$ is false and $q$ is true
$(4)$ $p$ is false and $q$ is false.
How many of these imply the negation of the statement “$p$ and $q$ are both true”?