Given:
The expression is [tex]5+4\times 2+6-2\times 2-1[/tex].
To find:
The position of parentheses inserted in the expression to get the value 19
Step-by-step explanation:
We have,
[tex]5+4\times 2+6-2\times 2-1[/tex]
Now,
[tex](5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1[/tex]
[tex](5+4)\times 2+6-2\times 2-1=18+6-5[/tex]
[tex](5+4)\times 2+6-2\times 2-1=18+1[/tex]
[tex](5+4)\times 2+6-2\times 2-1=19[/tex]
There are more ways to apply the parenthesis, but we do not get 19.
[tex]5+4*\left(2+6\right)-2*2-1=32\neq 19[/tex]
[tex]5+4*2+\left(6-2\right)*2-1=20\neq 19[/tex]
[tex]5+4*2+6-2*\left(2-1\right)=17\neq 19[/tex]
And many more possibilities.
Therefore, the expression after inserting the parentheses is [tex](5+4)\times 2+6-2\times 2-1[/tex].
