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Mathematics : asked on samanthamg11
 20.04.2021

An absolute value equation is shown.

–│x – 4│ + 2 = –2x + 7

x =
is the real solution; x =

is the extraneous solution

. 1

Step-by-step answer

15.12.2022, solved by verified expert
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Nitin Arora
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Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee
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Answer:

see below

Step-by-step explanation:

Given, 

–│x – 4│ + 2 = –2x + 7

±(x-4) + 2 = -2x + 7 

Taking + sign 

x-4 + 2 = -2x + 7 

3x = 9 

x = 3 

Taking - sign 

-(x-4) + 2 = -2x + 7 

-x + 4 + 2 = -2x + 7 

x = 1 

Real solutions are x = 1 and x = 3 

There is no extraneous solution

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Mathematics, 26.03.2020 20:52, mohammadhosseinkarim David is building wooden picture frames. Each frame requires 3/4 feet of wood. If David started with 12 feet of wood and now has 6 feet of wood remaining, how many pictures frames has he built?
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