Question

Translate the following propsitions into symbolic form.

f. If the deliveries are made on Thursdays then the associates who work on loading dock team will not get overtime pay, but if the deliveries are made on Saturdays, those associates will get overtime and extra security for the building will have to be provided. g. This test is really hard but I am going to ace it! h. If the air warms up and the pressure goes down then the liquid in bottle will get cloudy but it will not change color. i. If you help me, I pass this course and if you don't help me, I'm doomed. j. Bob did not show up Saturday to help us move and if I catch up with him tonight at the bar, I'm going to tell him off

Answer 1

Ans

the various symbols used are:

--> = if ....then

* but

$\blacktriangle$ up or more

$\blacktriangledown$ down or less  

H Hard, E Easy

& and

TH Thursday, SA Saturday

! not

$\lozenge$ help

f. [ --> (D=TH) =(A!=O)] * [ --> (D = SA) =((A=O) & ( S $\blacktriangle$ )) ]

g. (T= H ) * ( I $\blacktriangle$ )

h. [--> (A $\blacktriangle$ ) & ( P $\blacktriangledown$ )] = [ (L= CL)* (L !=CO)]

i. [--> ( Y $\lozenge$ M) = ( I=P)] & [ --> [(Y ! $\lozenge$ M) =( I= F)]