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)##