Given the inequality:
x+12>5To solve this inequality, we must first solve the corresponding equation:
x+12=5Solve:
Given the linear equation:
+x+12 = 5
Move free summands (without x)
from left part to right part, we given:
x=−7x1=−7x1=−7This roots
x1=−7is 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=
−7+−101=
−1071substitute to the expression
x+12>5−1071+12>549
-- > 5
10
Then
x<−7no execute
the solution of our inequality is:
x>−7 _____
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x1