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-23 +4 |x+10| < 37 I need help solving please can you also explain how to do it, thanks.​

User Recycler
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1 Answer

2 votes

Answer: - 25 < x < 5

Step-by-step explanation:The first thing is to Add 23 to both sides

The equation becomes

4 / x + 10 / < 37 + 23

4/x +10 / < 60

Divide through by 4

/ x +10/ < 15

to remove the modulus sign we have

-15< x + 10 < 15

we then solve one by one

firstly , - 15 < x + 10

subtract 10 from both sides

⇒ - 15 - 10 < x

-25 < x

solving the second part

x + 10 < 15

x < 15 - 10

x < 5

combining the two answers

-25 < x < x

User Ahhmarr
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