SOLUTION: Rewrite the set M by listing its elements. Make sure to use the appropriate set notation. M={x x is an integer and −5≤x−3}

You wrote this:

M={x x is an integer and −5≤x−3}

But that is incomplete.  There should be either a 
vertical line | or a colon : between the x's on the
left.

Also there should be either a < or a ≤ between the
x and the -3 on the right. 

If you meant this:

M = {x | x is an integer and −5 ≤ x < −3}

Then the answer is  {-5, -4}

But if you meant this:

M = {x | x is an integer and −5 ≤ x ≤ −3}

Then the answer is {-5, -4, -3}

Edwin