Given the inequality:
−4x>0To solve this inequality, we must first solve the corresponding equation:
−4x=0Solve:
Given the linear equation:
-4*x = 0
Divide both parts of the equation by -4
x = 0 / (-4)
x1=0x1=0This roots
x1=0is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
x0<x1For example, let's take the point
x0=x1−101=
−101=
−101substitute to the expression
−4x>0−10(−1)4>02/5 > 0
the solution of our inequality is:
x<0 _____
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x1