Pre-Calculus, 9th edition

 PAGE: 292 SET: Exercises PROBLEM: 1

The inequality is .

Divide each side by .

The inequality solution set is .

The inequality is .

Find the intercepts.

Find the -intercept by substituting in .

Solve for .

or

or

The -intercepts are ,.

Find the -intercept by substituting in .

-intercept is .

Find the vertex of above quadratic function .

Compare it to .

, and .

Since , then the parabola open upward.

-coordinate of vertex is .

Vertex .

Draw the coordinate plane.

Plot the intercepts and vertex.

Connect the plotted points.

Since the inequality symbol is , the solutions are not included in the solution of the inequality.

The graph is above the -axis when  or.

The inequality solution set is .

.

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