Solve the inequality and explain the meaning of the solution

Question

A meteorologist announces that yesterday’s high temperature was within 4° Celsius of 18° Celsius all across the country. Write an inequality that involves an absolute value to represent yesterday’s high temperature. Solve the inequality and explain the meaning of the solution

Answer 1

The high temperature was between 4 degrees Celsius of 18 degrees Celsius means that the difference between the high temperature and 18 degrees did not exceed 4 degrees.

So we'll write an absolute value inequality for the difference not exceeding 4 degrees.

|T - 18| ≤ 4