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-5ln+4l<15 true or false

User Nivlam
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1 Answer

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So, for values lesser than -1 and greater than -7 this inequality is true.

In this inequality let's work applying the Absolute Value properties

1) -5ln+4l<15 Dividing both sides by 5

-|n+4|<3

|n+4|>-3

2) Applying Absolute value properties

|n+4|>-3

|n+4|>-3

n+4-4>-4-3

n>-4-3

n>-7

|n+4|>3

n+4>3

n+4-4>3-4

n>-1

3) So n < -1 and >-7

So for values lesser than -1 and greater than -7 this inequality is true.

User Loler
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