Problem

Each inequality describes the range of average mo…

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Problem 83 Medium Difficulty

Each inequality describes the range of average monthly temperatures $T$ in degrees Fahrenheit at a certain location.
(a) Solve the inequality.
(b) Interpret the result.
$|T-50| \leq 22,$ Boston, Massachusetts

Answer

(a) $28 \leq T \leq 72$
(b) The monthly average temperatures in Boston vary between a low of $28^{\circ} \mathrm{F}$ and a high of $72^{\circ} \mathrm{F}$. The monthly averages are always within $22^{\circ}$ of $50^{\circ} \mathrm{F}$.

Topics

Analysis of Graphs of Functions

Book Cover for A Graphical Approac…

A Graphical Approach to College Algebra

Chapter 2

Analysis of Graphs of Functions

Section 4

Absolute Value Functions

Discussion

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Video Transcript

okay. B minus sippy lies between minus 22 22. Oh, I didn't appeal. It's part You get minus 20 toe plastic P less than it cost to the list. Goes to 22. Places are taken right, 28 less than is supposed to be less than musicals to 72. Be part. The interpretation from this is the temperature of borstal. VAT is between 28 F on a 72 d for inmates. I also know that the monthly ever it is hot, always between 22 daily firing it off incredibly funny.

AG

Ankit G.

Topics

Analysis of Graphs of Functions

Book Cover for A Graphical Approac…

A Graphical Approach to College Algebra

Chapter 2

Analysis of Graphs of Functions

Section 4

Absolute Value Functions

Top Algebra 2 Educators

Lily A.

Johns Hopkins University

GH

Grace H.

Numerade Educator

Shubham P.

University of Washington

Heather Z.

Oregon State University