Help please..."A laptop advertisement states that internal parts operate at 55° Celsius plus or minus 15°. Write an absolute value equation to represent the situation. Then solve the equation and write it as a compound inequality. State the meaning of the solution."

Question

anonymous · Answer

so $55$ is in the middle, and you can be $15$ degrees higher, or $15$ degrees lower
what numbers are those?

anonymous · Answer

Um..I'm not sure what you mean by what numbers are those..

anonymous · Answer

what is 15 degrees more than 55?

anonymous · Answer

70??

anonymous · Answer

yes

anonymous · Answer

what is 15 degrees less than 55 degrees?

anonymous · Answer

40 ; so  $$40<55<70?$$

anonymous · Answer

close

anonymous · Answer

it is always the case that $40<55<70$ what you need is a variable to represent the permissible temperature 
your teacher probably uses $x$
so if you put $x$ as the possible temps, then the biggest $x$ can be is 70 and the smallest is 40

replace the 55 in your above inequality by $x$ and let me see what you get

anonymous · Answer

$$40<x <70$$ so that's the inequality part?

anonymous · Answer

yes, or you might want to write 
$$40\leq x\leq 70$$ so be more precise

anonymous · Answer

Got it :) How would I write an absolute value equation with this??

anonymous · Answer

you need a variable for that one as well
again we use $x$ as the possible temp and translate directly in to math
the distance between $x$ and $55$ is written as an absolute value by $|x-55|$

anonymous · Answer

you want that distance to be less than or equal to 15
so write that
let me know what you get

anonymous · Answer

Ohh ok so, $$|x-55|\le15$$

anonymous · Answer

you found the sound

anonymous · Answer

Yay! So I would solve this inequality right?

anonymous · Answer

guess what you get if you solve it?

anonymous · Answer

A medal?

anonymous · Answer

lol i already gave you a medal
no you get the answer to the second question, which you answered first

anonymous · Answer

Right right I knew that lol... Ohh so I basically answered this backwards..

anonymous · Answer

exactly

anonymous · Answer

$$|x-55|\le 15\iff -15\leq x-55\leq 15\iff 40\leq x\leq 70$$

anonymous · Answer

just two different ways of saying the same thing

anonymous · Answer

Thank you a ton for your help! I was going crazy trying to solve this problem.

anonymous · Answer

yw