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Alinara [238K]
3 years ago
5

What is the solution if any, to the inequality 3-l4-nl>1?

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

The solution to the inequality is all real values of n that respect the following condition: 2 < n < 6

Step-by-step explanation:

First, we need to separate the modulus from the rest of equation. So

3-l4-nl>1

-|4-n|>1-3

-|4-n|>-2

Multiplying everything by -1.

|4-n|<2

How to solve:

|x| < a means that -a<x<a

In this question:

|4-n|<2

-2<4-n<2

This means that:

4 - n > -2

-n > -6

Multiplying by -1

n < 6

And

4 - n < 2

-n < -2

Multiplying by 1

n > 2

Intersection:

Between n > 2 and n < 6 is 2 < n < 6

So the solution to the inequality is all real values of n that respect the following condition: 2 < n < 6

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One solution of x^2-25=0 is 5 what is the other solution
zepelin [54]

Add 25 to both sides:


x^2 = 25


Square root both sides.


When you square root a perfect square, you will get a plus/minus result:


\sqrt{25} = \pm 5


x = \pm 5

\boxed{x = -5} \land \boxed{x = 5}


The other solution to this answer is x = -5.

5 0
3 years ago
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3 years ago
Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do
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Answer:

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A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

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In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

  0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

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