Question

Which symbol replaces ? to make the statement true?

3⋅12−12 ? 3⋅[26−2⋅(3+6)]

A. <

B. >

C. =

Answer 1

3⋅12−12 =                3⋅[26−2⋅(3+6)] =

= 36 - 12                 = 3⋅[26−2⋅9]

= 24                        = 3⋅[26−18]

                               = 3⋅8

                               = 24

Answer is C. =

Answer 2

Answer:

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

Step-by-step 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.