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.

Question

I'm really struggling with this question! I've started with something like, "|x-18|=4" but I don't know where to go from there, if that's even the correct beginning:/ And what's the meaning of the solution(!)? Any help would be appreciated, thank you.

Answer 1

Wouldn't the temperature be between 14 and 22 ?

so

14 ≤ T ≤ 22

you were on the right track with |T - 18|
but you should have said:

|T - 18| ≤ 4

then T-18 ≤ 4 and -T + 18 ≤ 4
T ≤ 22 and -T ≤ -14 ----> T ≥ 14

the connective "and" allows me to write it as
14 ≤ T ≤ 22 , as above

Answer 2

Thank you, Reiny!:) that really helped!

Answer 3

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.

I'm really struggling with this question! I've started with something like, "|x-18|=4" but I don't know where to go from there, if that's even the correct beginning:/ And what's the meaning of the solution(!)? Any help would be appreciated, thank you.