The truth table represents statements p, q, and r. p q r q ∧ r a t t t t b t t f f c t f t f d t f f f e f t t t f f t f f g f f t f h f f f f if p is false, which row represents when p ∨ (q ∧ r) is true?

Solution:

q ∧ r : q and r

q      r        q∧r

T      T         T

T       F          F

F       T          F

F        F          F

p ∨ (q∧r)

p OR (q AND r)

p          q∧r          p∨(q∧r)

F           T∧  T=T      T

F            F∧T = F      F

F             T ∧ F=F      F

F             F ∧ F =F      F

If P is false , The row which represents  when p ∨ (q ∧ r) is true is →→F T T T

Which is Option E.    

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.