Question

Which symbol replaces ? to make the statement true?

3⋅12−12 ? 3⋅[26−2⋅(3+6)]

A. <

B. >

C. =

Answer 1

Option C -
`3\cdot 12-12\ =\ 3\cdot [26-2\cdot (3+6)]`

Explanation:

Given : Expression
`3\cdot 12-12\ ?\ 3\cdot [26-2\cdot (3+6)]`

To find : Which symbol replaces ? to make the statement true?

Solution :

Expression
`3\cdot 12-12\ ?\ 3\cdot [26-2\cdot (3+6)]`

Solving LHS,

`LHS=3\cdot 12-12`

`LHS=36-12`

`LHS=24`

Solving RHS,

`RHS=3\cdot [26-2\cdot (3+6)]`

`RHS=3\cdot [26-2\cdot (9)]`

`RHS=3\cdot [26-18]`

`RHS=3\cdot [8]`

`RHS=24`

As LHS=RHS

So, The required symbol is
`3\cdot 12-12\ =\ 3\cdot [26-2\cdot (3+6)]`

Therefore, Option C is correct.

Answer 2

3⋅12−12 = 3⋅[26−2⋅(3+6)] =

= 36 - 12 = 3⋅[26−2⋅9]

= 24 = 3⋅[26−18]

= 3⋅8

= 24

Answer is C. =