What is (0.41-0.4}{sqrt(\frac{24)/n)}<-1.96 ?

The solution to (0.41-0.4}{sqrt(\frac{24)/n)}<-1.96 is No Solution for n\in\mathbb{R}

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(0.41-0.4}{sqrt(\frac{24)/n)}<-1.96

\frac{0.41 - 0.4}{\frac{24}{n}} < - 1.96

No Solution for n \in R

Solution steps

\frac{0.41 - 0.4}{\frac{24}{n}} < - 1.96

Simplify

\frac{0.01}{\frac{24}{n}} < - 1.96

Divide both sides by

0.01

\frac{\frac{0.01}{\frac{24}{n}}}{0.01} < \frac{- 1.96}{0.01}

Simplify

\frac{1}{\frac{24}{n}} < - \frac{1.96}{0.01}

Let

u = \frac{24}{n}

\frac{1}{u} < - \frac{1.96}{0.01}

\frac{1}{u} < - \frac{1.96}{0.01} : - \frac{1}{196} < u < 0

- \frac{1}{196} < u < 0

Substitute back

u = \frac{24}{n}

- \frac{1}{196} < \frac{24}{n} < 0

a < u < b

then

a < u and u < b

- \frac{1}{196} < \frac{24}{n} and \frac{24}{n} < 0

- \frac{1}{196} < \frac{24}{n} :

True for all

n

\frac{24}{n} < 0 :

No Solution for

n \in R

Combine the intervals

True for all n and No Solution

Merge Overlapping Intervals

No Solution for n \in R

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9 x^{2} - 4 y^{4}

∣ 2 x - 7 ∣ < 3

2 x - 8 < 24

What is (0.41-0.4}{sqrt(\frac{24)/n)}<-1.96 ?
The solution to (0.41-0.4}{sqrt(\frac{24)/n)}<-1.96 is No Solution for n\in\mathbb{R}