Mystery Value

When $6x = x + 6$ $\implies 5x = 6$ $\implies x = 1.2$ . When $x > 1.2$ , $6x > x + 6$ . When $x < 1.2$ , $6x < x + 6$ .

Therefore, $\boxed{\text{it depends on the value of }x.}$

The answer : $\boxed{\text{Depends on the value of } x}$

Let ' $x$ ' be 2 .

And if ' $x$ ' is 2,

6 $x$ = 2 × 6 = \boxed{12}

6+ $x$ = 6 + 2 = \boxed{8}

Therefore, 6 $x$ is bigger in this situation.

Let ' $x$ ' be 0.5 .

And If ' $x$ ' is 0.5,

6 $x$ = 6 x 0.5 = \boxed{3}

6+ $x$ = 6+0.5 = \boxed{6.5}

Therefore, 6+ $x$ is bigger in this situation.

So, the answer is dependant on ' $x$ '. ' $x$ ' in this context has a mystery value. Therefore, it is dependant on ' $x$ ' as shown above.

$6 \times 1 = 6$ while $1 + 6 = 7$ or $6 \times 2 = 12$ while $2 + 6 = 8$ . Therefore, it depends on the value of $x$ .

suppose, x=1

so, 6x=6 and (x+1)=7.................................[here (x+1)>6x]

again ,if x=10. then, 6x=60 and (x+1)=11.................[here 6x>(x+1)]

so, it depends on the value of x

Set up an inequality such that $x+6<6x$ Then solve: $6<5x$ $1.2<x$ . Therefore, the above inequality holds true only when $x>1.2$ . When $x=1.2$ , $x+6=6x$ , and when $x<1.2$ , $x+6>6x$