Final answer:
To find the integer that makes the subtraction sentence true, subtract 2 from -2 to get x = 2.
Step-by-step explanation:
To find the integer that makes the subtraction sentence true, we can solve the equation:
-2 - x = -4
First, we want to isolate the variable x. In order to do that, we need to get rid of the -2 on the left side of the equation. To remove the -2, we can add 2 to both sides of the equation, like this:
-2 + 2 - x = -4 + 2
This simplifies to:
0 - x = -2
And since any number subtracted from 0 is just the negative of that number, the equation can be rewritten as:
-x = -2
To solve for x, we need to isolate it on one side of the equation. Since -x is the same as -1x, we can divide both sides of the equation by -1 to remove the negative sign in front of x:
-1(-x) = -1(-2)
This simplifies to:
x = 2