Mister Exam

-4x inequation

A inequation with variable

The solution

You have entered [src]
-4*x > 0
4x>0- 4 x > 0
-4*x > 0
Detail solution
Given the inequality:
4x>0- 4 x > 0
To solve this inequality, we must first solve the corresponding equation:
4x=0- 4 x = 0
Solve:
Given the linear equation:
-4*x = 0

Divide both parts of the equation by -4
x = 0 / (-4)

x1=0x_{1} = 0
x1=0x_{1} = 0
This roots
x1=0x_{1} = 0
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
x0<x1x_{0} < x_{1}
For example, let's take the point
x0=x1110x_{0} = x_{1} - \frac{1}{10}
=
110- \frac{1}{10}
=
110- \frac{1}{10}
substitute to the expression
4x>0- 4 x > 0
(1)410>0- \frac{\left(-1\right) 4}{10} > 0
2/5 > 0

the solution of our inequality is:
x<0x < 0
 _____          
      \    
-------ο-------
       x1
Solving inequality on a graph
-5.0-4.0-3.0-2.0-1.05.00.01.02.03.04.00.5-0.5
Rapid solution 2 [src]
(-oo, 0)
x in (,0)x\ in\ \left(-\infty, 0\right)
x in Interval.open(-oo, 0)
Rapid solution [src]
And(-oo < x, x < 0)
<xx<0-\infty < x \wedge x < 0
(-oo < x)∧(x < 0)