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

Answer 1

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.