Solving Linear Inequalities

Solving Linear Inequalities

Farah Dawood

Some Application of Inequalities

Inequalities are used more often in real life than equalities:

Bu sin e sse s u se in e q u a litie s to co n tro l in ve n to ry, p la n p ro d u ctio n lin e s, p ro d u ce p ricin g m o d e ls, a n d fo r sh ip p in g.

Lin e a r p ro gra m m in g is a b ra n ch o f m a th e m a tics th a t u se s syste m s o f lin e a r in e q u a litie s to so lve re a l-wo rld p ro b le m s.

Fin a n cia l o ccu p a tio n s o fte n re q u ire th e u se o f lin e a r in e q u a litie s su ch a s a cco u n ta n ts, a u d ito rs, b u d ge t a n a lysts a n d in su ra n ce u n d e rwrite rs to d e te rm in e p ricin g a n d se t b u d ge ts.

Inequality Symbols

What is a linear Inequality ?

Linear inequality is an inequality which involves a linear function (with first power).

Linear inequality contains one of the symbols of inequality

The solution of a linear inequality in two variable like Ax+By>C is an ordered pair (x,y) that make an inequality true.

Solving Linear Inequalities For One Variable

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Solve the inequality as you would an equation which means that "whatever you do to one side, you must do to the other side".

If you multiply or divide by a negative number, REVERSE the inequality symbol.

We can write the answer in interval notation.

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