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sqrt(14-4*x)>0 inequation

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  __________    
\/ 14 - 4*x  > 0

\sqrt{14 - 4 x} > 0

sqrt(14 - 4*x) > 0

Detail solution

Given the inequality:

\sqrt{14 - 4 x} > 0

To solve this inequality, we must first solve the corresponding equation:

\sqrt{14 - 4 x} = 0

Solve:
Given the equation

\sqrt{14 - 4 x} = 0

14 - 4 x = 0

Move free summands (without x)
from left part to right part, we given:

- 4 x = -14

Divide both parts of the equation by -4

x = -14 / (-4)

We get the answer: x = 7/2

x_{1} = \frac{7}{2}

x_{1} = \frac{7}{2}

This roots

x_{1} = \frac{7}{2}

is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:

x_{0} < x_{1}

For example, let's take the point

x_{0} = x_{1} - \frac{1}{10}

- \frac{1}{10} + \frac{7}{2}

\frac{17}{5}

substitute to the expression

\sqrt{14 - 4 x} > 0

\sqrt{14 - \frac{4 \cdot 17}{5}} > 0

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the solution of our inequality is:

x < \frac{7}{2}

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       x1

Solving inequality on a graph

Rapid solution 2 [src]

(-oo, 7/2)

x\ in\ \left(-\infty, \frac{7}{2}\right)

x in Interval.open(-oo, 7/2)

Rapid solution [src]

And(-oo < x, x < 7/2)

-\infty < x \wedge x < \frac{7}{2}

(-oo < x)∧(x < 7/2)