Question

Solve for the inequality -n-4<3

Answer 1

Question:-

`-n-4<3`

This is a inequality.We need to solve this inequality.

Solution:-

`\sf \longmapsto-n-4<3`

Firstly,Add 4 to two sides :-

`\sf \longmapsto - n - 4+4<3+4`

On Simplification:-

As (-) and (+) equals to (-),It would be 4-4.Answer is 0.

`\sf \longmapsto - n - 0 < 7`

`\sf \longmapsto \: - n < 7`

Then, Divide both sides by -1 :·-

`\sf \longmapsto \: ( - n)/( - 1) < (7)/( - 1)`

On Simplification :-

If the denominator is 1, it means that there is no value of 1 in the fraction.

`\sf \longmapsto \: ( \cancel- n)/( \cancel- 1) < ( \cancel7)/( - \cancel1)`

`\sf \longmapsto \: n > -7`

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Henceforth, the value of the inequality is :-

`\boxed{\tt \: n > - 7}`

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I hope this helps!

Please let me know if you have any questions.

~MisterBrian