Respuesta :
Answer:
The symbol can be [tex]\neq, >[/tex]
Step-by-step explanation:
Given : Expression [tex]12\div x+2x\ ?\ 12\div (x+2x)[/tex]
To find : Which symbol creates a true sentence when x = 6?
Solution :
[tex]12\div x+2x\ ?\ 12\div (x+2x)[/tex]
We put x=6 both side and get the result,
LHS, [tex]L=12\div x+2x[/tex]
[tex]L=12\div 6+2(6)[/tex]
[tex]L=2+12[/tex]
[tex]L=14[/tex]
RHS, [tex]R=12\div (x+2x)[/tex]
[tex]R=12\div (6+2(6))[/tex]
[tex]R=12\div (6+12)[/tex]
[tex]R=12\div 18[/tex]
[tex]R=0.6[/tex]
So we can say that,
[tex]14\neq 0.6[/tex] or [tex]14> 0.6[/tex]
[tex]12\div x+2x\ \neq\ 12\div (x+2x)[/tex]
or [tex]12\div x+2x\ >\ 12\div (x+2x)[/tex]
Therefore, the symbol can be [tex]\neq, >[/tex]
