solve this problem by writing and solving an inqeuality. 7 more than four times a number is less than -40

Let's call the number "x".

The inequality can be written as:

4x + 7 < -40

Now, let's solve for x:

Subtract 7 from both sides of the inequality:

4x < -40 - 7

4x < -47

Divide both sides of the inequality by 4:

x < -47/4

Therefore, the solution to the inequality is:

x < -11.75