Q7. If p-8/9 and q= (-7/12) verify the following properties: a. pxq = qxp b. p+q-q+p c. p-q* q-p d. p+q* q+p
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12) verify the following properties: a. pxq = qxp b. p+q-q+p c. p-q* q-p d. p+q* q+p
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Answer:
Given that
p=-8/9 , q=-7/12
A : p×q = q×p
= -8/9×-7/12=-7/12×-8/9
= 56/108 = 56/108
= 1
B : p+q-q+p
= -8/9+-7/12-(-7/12+-8/9)
= -159/108-(-159/108)
= -159/108+159/108
= 0
C : p-q*q-p
= -8/9-(-7/12)*-7/12-(-8/9)
= -8/9+7/12*-7/12+8/9
= -33/108*33/108
= -1089/11664
= -121/1296
D : p+q*q+p
= -8/9+(-7/12)*-7/12+(-8/9)
= -8/9-7/12*-7/12-8/9
= -159/108*-159/108
= 2809/1296