Question

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

Answer 1

Answer:

The symbol can be $\neq, >$

Step-by-step explanation:

Given : Expression   $12\div x+2x\ ?\ 12\div (x+2x)$

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

Solution :

$12\div x+2x\ ?\ 12\div (x+2x)$

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

LHS, $L=12\div x+2x$

$L=12\div 6+2(6)$

$L=2+12$

$L=14$

RHS, $R=12\div (x+2x)$

$R=12\div (6+2(6))$

$R=12\div (6+12)$

$R=12\div 18$

$R=0.6$

So we can say that,

$14\neq 0.6$ or $14> 0.6$

$12\div x+2x\ \neq\ 12\div (x+2x)$

or $12\div x+2x\ >\ 12\div (x+2x)$

Therefore, the symbol can be $\neq, >$