Step-by-step explanation:
I'm not sure what you need help with, since what you have written down is correct. However, if you are looking for an explanation, here it is:
x + 5 < -2
To solve for x, we have to get x on one side by itself. Whatever you do to one side, you have to do to the other. Let's get rid of 5 to get x by itself.
x + 5 < -2 (Subtract 5 from both sides)
x < -7
Perfect! Basically what this is saying, is that all the values x can equal have to be less than -7. The sign < means less than.
For the signs < (less than) and > (greater than), we use an open circle.
For the signs ≤ (less than or equal to) and ≥ (greater than or equal to), we use a closed circle.
This is why we use an open circle for this example since x is LESS THAN -7.
The arrow is pointing to the left because these numbers are less than -7.
