If x=4/9,y=_7/12 and z=-2/3 verify that x_(y_z)=/=(x_y)_z
Answers
ANSWER :
x=4/9
y= -7/12
z=2/3
Substitute these values in the equation , then you will get the answer .
STEP-BY-STEP EXPLANATION :
x-(y-z) =/= (x-y)-z
x=4/9
y= -7/12
z=2/3
LHS = x-(y-z)
= 4/9-(7/12 -2/3)
= 4/9-(-21-24/36)
= 4/9-(-45/36)
= 4/9+45/36
= 144+405/324
= 549/324
= 1.69
RHS = (x-y)-z
= (4/9-(-7/12))-2/3
= (4/9+7/12)-2/3
= (48+63/108)-2/3
= 111/324-2/3
= 333-216/324
= 117/324
= 0.36
Therefor ,
1.69 =/= 0.36
LHS =/= RHS
HENCE VERIFIED
Hope it helps you...
Answer:
x=
9
4
,y=
12
−7
,z=
3
−2
then
x−(y−2)
=(x−y)−z
⇒
9
4
−[
12
−7
−(
3
−2
)]
=[
9
4
−(
12
−7
)]−(
3
−2
)
⇒
9
4
−[
12
−7
+
3
2
]
=[
9
4
+
12
7
]−(
3
−2
)
⇒
9
4
−[
12
−7+8
]
=[
36
16+21
]+
3
2
⇒
9
4
−
12
1
=
36
37
+
3
2
⇒
36
16−3
=
36
37+24
36
13
=
36
61
proved
L.H.S and R.H.S are not equal