57

 PAGE: 339 SET: Exercises PROBLEM: 57

The graph of the inequality .

Solve for  in terms of .

(Original equation)

(Subtract  from each side)

(Divide each side by )

(Cancel common terms)

The inequality is .

Draw the boundary of the inequality and

Since inequality symbol is , the boundary is not included in the solution set.

Graph the boundary of the inequality with dashed line.

Determine which half-plane to be shaded use a test point in either half-plane.

A simple choice is .

(Substitute and and )

The statement is true.

Therefore, the half–plane which contains the point  is the solution.

Graph:

Graph for inequality graph is

.

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