Question

6. if p = -8/27 , q = 3/4 and r = -12/15, then verify that
(i) p × (q × r) = (p × 4) × r
(ii) p × (q - r) = p × q- p × r​

Answer 1

Answer:

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Step-by-step explanation:

Given

p=−3/2,q=4/5 and r=−7/12

(p÷q)÷r



=p÷(q÷r)

LHS=(p÷q)÷r

=(−3/2÷4/5)÷(−7/12)

=(−3/2×5/4)÷(−7/12)

=−15/8÷−7/12

=−15/8×12/−7

We get,

=−45/−14

={−45×(−1)}/{−14×(−1)}

=45/14

Now,

RHS=p÷(q÷r)

=−3/2÷(4/5)÷(−7/12)

=−3/2÷(4/5×12/−7)

We get,

=−3/2÷48/−35

=−3/2×−35/48

We get,

=35/32

Therefore, LHS



=RHS.