Consider the following expressions

`10-\frac{2}{5}\cdot35-4\ \frac{2}{5}`______`\frac{3}{5}+8\cdot7-1`

Which operator can be inserted to make the statement true?

In order to determine which operator can be inserted to make the statement true, we need to evaluate each expression separately and compare the results.

Expression 1: 10 - (2/5) * 35 - 4 2/5
First, we need to perform the multiplication and division: (2/5) * 35 = 14
Then, we need to perform the subtraction: 10 - 14 = -4
Finally, we subtract 4 2/5 from -4: -4 - 4 2/5 = -8 2/5

Expression 2: 3/5 + 8 * 7 - 1
First, we need to perform the multiplication: 8 * 7 = 56
Then, we perform the addition and subtraction: 3/5 + 56 - 1 = 55.6

Now, we can compare the results of the two expressions:
-8 2/5 and 55.6

In order to make the statement true, we need to insert the inequality operator. For example, we can write:
-8 2/5 < 55.6