the average January temperature in a northern Canadian city is 1 degree Fahrenheit. The actual January temperature varies within 5 degrees warmer or colder of this temperature. Write and solve an absolute value inequality to find the range of temperatures

-4 ≤ x ≤ 6

Step-by-step explanation:

Given that :

Average January temperature = 1°F

Let actual temperature = x ; which varies 5°F warmer or colder of this temperature ;

|x + average temperature | ≤ 5

x + 1 ≤ ±5

1 - 5 ≤ x ≤ 1 + 5

-4 ≤ x ≤ 6

Lower bound (colder) = 1 - 5 = - 4

Uppwr bound (warmer) = 1 + 5 = 6