Question

verify the following:

-3/4+7/-8=7/-8+-3/4​

Answer 1

Answer:

Which of the following are one- to-one functions? ... Q: d) Verify that the following functions are inverses: g(x) = 23-x + 1 and g="(x) = 3 ...

Answer 2

GIVEN TO VERIFY :-

$\dfrac{ - 3}{4} + \dfrac{7}{ - 8} = \dfrac{7}{ - 8} + \dfrac{ - 3}{4}$

SOLUTION:-

First we will take LHS and simplify after We shall take RHS and verify

TAKE LHS

$\dfrac{ - 3}{4} + \dfrac{7}{ - 8} = \dfrac{ - 3}{4} - \dfrac{7}{8}$

So,

LCM Of 4,8 is 8

$\dfrac{ - 3}{4} - \dfrac{7}{8} = \dfrac{ - 3 \times 2 - 7 \times 1}{8}$

$\dfrac{ - 3}{4} - \dfrac{7}{8} = \dfrac{ - 6 - 7}{8}$

$\dfrac{ -3 }{4} - \dfrac{7}{8} = \dfrac{ - 13}{8}$

LHS = -13/8

Now,

Take RHS

$\dfrac{7}{ - 8} + \dfrac{ - 3}{4} = \dfrac{ - 7}{8} - \dfrac{3}{4}$

LCM of 4,8 is 8

$\dfrac{ - 7}{8} - \dfrac{3}{4} = \dfrac{ - 7 \times 1 - 3 \times 2}{8}$

$\dfrac{ - 7}{8} - \dfrac{3}{4} = \dfrac{ - 7 - 6}{8}$

$\dfrac{ -7 }{8} - \dfrac{3}{4} = \dfrac{ - 13}{8}$

RHS = -13/8

We can say that $\dfrac{ - 3}{4} + \dfrac{7}{ - 8} = \dfrac{7}{ - 8} + \dfrac{ - 3}{4}$

So, LHS = RHS

Verified

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KNOW MORE :-

Commutative property:- If we change the place of numbers under addition and multiplication Its value doesn't change

a + b = b + a (under addition)

a - b ≠ b - a (under Subtraction)

a× b = b×a (under multiplication)

a ÷ b ≠ b÷ a (under division)

This property can satisfies only for multiplication and addition

The above question is satisfies commutative property