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

Answer 1

Let's assume the unknown number is x.

According to the problem, "7 more than four times a number" could be written as 4x + 7.

The phrase "is less than -40" can be expressed as < -40.

Thus, we can write the inequality as:

4x + 7 < -40

To solve this inequality, we can start by subtracting 7 from both sides:

4x < -47

Finally, we divide both sides of the inequality by 4:

x < -47/4

Therefore, the solution to the inequality is x < -47/4.