Question

Which symbol creates a true sentence when x = 6? 12 ÷ x + 2x ____12 ÷ (x + 2x)

Answer 1

The symbol can be
`\\eq, >`

Explanation:

Given : Expression
`12/ x+2x\ ?\ 12/ (x+2x)`

To find : Which symbol creates a true sentence when x = 6?

Solution :

`12/ x+2x\ ?\ 12/ (x+2x)`

We put x=6 both side and get the result,

LHS,
`L=12/ x+2x`

`L=12/ 6+2(6)`

`L=2+12`

`L=14`

RHS,
`R=12/ (x+2x)`

`R=12/ (6+2(6))`

`R=12/ (6+12)`

`R=12/ 18`

`R=0.6`

So we can say that,

`14\\eq 0.6` or
`14> 0.6`

`12/ x+2x\ \\eq\ 12/ (x+2x)`

or
`12/ x+2x\ >\ 12/ (x+2x)`

Therefore, the symbol can be
`\\eq, >`