Discrete MathematicsReading Worksheet 2.3Answerall questions on another sheet of paper. You do not need to print out or recopy the questions. Please skip lines and write legibly.1.a) In the following argument form, which are the premises?b) What is the conclusion?c) Construct a truth table for the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the textbook. Create your own exampl

or the premises and the conclusion. (1)푝→푞(2)푞→푟(3)∴푝→푟2.What do we call an argument form that consists of two premises and a conclusion?3.Look at the table of valid argument forms (also calledrules of inference) a)What is the name of the argumentform can be considered as reasoning from the contrapositive?b)If assuming that the negation of a statement leads to a contradiction, what can weconclude?c)What is the conclusion you can draw from the premises (푝˅푞)and ~푞?4.Explain the difference between a valid argument and a sound argument.5.It ispossible to make a valid argument with a false premise and a false conclusion. Look at the example given in the

Step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: