solve this problem by writing and solving an inequality 7 more tha four times a number is less than -40
Let's call the number we are trying to find "x". The problem states that 7 more than four times this number is less than -40.
Therefore, the inequality can be written as:
4x + 7 < -40
To solve this inequality, we will isolate the variable x.
First, subtract 7 from both sides of the inequality:
4x < -47
Next, divide both sides of the inequality by 4:
x < -47/4
So the solution to the inequality is x < -11.75.