Integrated Math Section 3 4 Linear Inequalities and

Integrated Math Section 3. 4 Linear Inequalities and Graphs

• Linear inequality-linear equation with the equal sign replaced by an inequality sign • The solution will be an area on the coordinate plane-the line will divide the solution area and the non-solution area

Graphing slope –intercept form • Solve inequality for y • Remember to change the inequality sign when multiplying or dividing by a negative.

• Treat the inequality like an equation and graph the line. • For > or <, use a dotted line. • This is like an invisible fence-not part of the solution.

Y_____mx+b Shading above Shading below Solid Line Dotted Line

Vertical line inequalities •

• When graphing a compound inequality, you are graphing two inequalities on one coordinate plane. • Recall what the words and or mean!

Or- (union) one or the other or both for inequalities- in the one shaded area or the other shaded area or both The solution area is the union of all the shaded areas. (the green, purple and pink areas)

• And- (intersection) both parts must be true for inequalities- where the shaded areas overlap The solution area is only where the shading overlaps (the purple area)

Compound inequalities • Graph each inequality and shade using different colors • What is the solution area for or? And?

• Are points in the solution area? • You could graph and see if the point is in the solution area OR • Test the ordered pairs in the inequalities.

Assignment #14 Pg. 193 3 -24 multiples of 3, omit #18, 39 -42 all