How do you solve compound inequalities ##4x<16## or ##12x>144##?

linear inequality is closely the same as linear equation,
In solving linear inequality, we have to follow the properties of inequality.
equation 1 : ## 4x <16## solution: ##4x< 16 ## multiply## 1/4## to both sides of the equation. ##x < 4## The solutions are the Real numbers less than ##4##. equation 2: ##12x > 144##
Solution:
##12x > 144## Multiplication Property of Inequality by ##1/12## or
Division Property of Inequality by ##12## to both sides of
## x > 12 ## the equation.
##x > 12## Simplified answer
Therefore the solution to the compound inequality is
##x<4## or ##x>12##
which can be expressed as
##x epsilon (-oo,4) uu (12,+oo)##

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