The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What are the minimum and maximum temperatures for this day? x = −9, x = 21 x = −6, x = 18 x = 6, x = −18 No solution

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The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below: 2|x − 6| + 14 = 38 What are the minimum and maximum temperatures for this day? x = −9, x = 21 x = −6, x = 18 x = 6, x = −18 No solution

Mathematics
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@BrianaNicole16 begin by subtracting 14 from both sides.
idk how to

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Other answers:

\(2|x − 6| + 14 \color{green}{- 14} = 38 \color{green}{- 14}\)
@BrianaNicole16 what is 14 - 14 ?
So now we have \(2|x − 6| = 38 \color{green}{- 14}\) @BrianaNicole16, What is \(38 - 14\)?
24
2|x-6|=24... now divide both sides by 2..
2|x-6|/2=24/2 the 2 will cancel frm the left side of the equation leaving |x-6|=24/2
wats 24/2=?
12
so we have |x-6|=12
now we need to get rid of the absolute value sign...to do that we split the equation into 2... one negative and one positive...like this.. (x-6)=12 and (x-6)= -12
ok what next
we solve each equation for x
ok
hint:add 6 to both sides of the equation
so we have x-6+6=12+6 ... and x-6+6= -12+6 x=? x=?
for x-6+6=12+6 x is 18
yes and wats the other x=?
-6
correct
thank you so much

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