Final answer:
The expression given, 19+7/2x6+1, cannot be manipulated by just placing two pairs of brackets to equal 2. Placing brackets around different parts of the expression will not result in the value 2, as the operations within the brackets still produce results too large or too small to sum to 2.
Step-by-step explanation:
The student has asked to rewrite the statement 19+7/2x6+1 by including two pairs of brackets to make the total value equal to 2. This problem requires an understanding of the order of operations and the ability to manipulate the equation with brackets to achieve the desired result.
To solve this, we can place brackets in a way that changes the order of operations to get the total value to 2. We know that any number times zero equals zero, and any number plus or minus 2 equals 2. Hence, if we rewrite the equation as (19-7)/2 x (6-5), we would get:
((12)/2) x (1)
(6) x (1) = 6
However, this gives us 6, not 2. We need to adjust the brackets to control the operations further. After trying various combinations, one correct way to use brackets to achieve a total value of 2 is:
(19+(7/2)) x (6+1) = 0
This cannot work as it would result in a number much higher than 2. It appears there is an error, and with the given operations and numbers, it is not possible to achieve a result of 2 by simply placing two pairs of brackets in the original expression. To address this concern accurately, we would need additional rules or modifications to the expression.