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Solving inequalities/ -6×>12

-6×>12 inequation

A inequation with variable

The solution

You have entered [src] 
-6*x > 12
−6x>12- 6 x > 12 
-6*x > 12
Detail solution
Given the inequality:
−6x>12- 6 x > 12
To solve this inequality, we must first solve the corresponding equation:
−6x=12- 6 x = 12
Solve:
Given the linear equation:
-6*x = 12

Divide both parts of the equation by -6
x = 12 / (-6)

x1=−2x_{1} = -2
x1=−2x_{1} = -2
This roots
x1=−2x_{1} = -2
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=x1−110x_{0} = x_{1} - \frac{1}{10}
=
−2+−110-2 + - \frac{1}{10}
=
−2110- \frac{21}{10}
substitute to the expression
−6x>12- 6 x > 12
−(−21)610>12- \frac{\left(-21\right) 6}{10} > 12
63/5 > 12

the solution of our inequality is:
x<−2x < -2
 _____          
      \    
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       x1
Solving inequality on a graph
501234-7-6-5-4-3-2-1-100100
Rapid solution [src] 
And(-oo < x, x < -2)
−∞<x∧x<−2-\infty < x \wedge x < -2 
(-oo < x)∧(x < -2)
Rapid solution 2 [src] 
(-oo, -2)
x in (−∞,−2)x\ in\ \left(-\infty, -2\right) 
x in Interval.open(-oo, -2)
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