Use a truth table to determine whether the following is a tautology, a contradiction, or neither. ~pap q~qvq

The statement is a tautology.

Step-by-step explanation:

We have the following statement

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The simple statements from the statement given are:

, , , , and with these you can construct the following truth table.

A tautology is a formula that is always true, it is true for every assignment of truth values to its simple components.

The last column contains only true values. Therefore, the statement is a tautology.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice