Solving Linear Inequalities

Same as Linear Equations but with < and >

On a Graph: Simple inequalities

• X<4

• X> -2

On a Graph: Simple inequalities

• X<4

• X> -2

Compound Inequalities

• -1<x<3

• x<-2 or x>1

Compound Inequalities

• -1<x<3

• x<-2 or x>1

Solving an inequality

• Pg 42 has a chart of steps but here are some examples

Solving an inequality

• BIG NOTE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!• WHEN DIVIDING OR MULTIPLYING BY A

NEGATIVE NUMBER....CHANGE THE DIRECTION OF THE INEQUALITY!!!!!

Solving an inequality

• EXAMPLE:

Solving an inequality

• EXAMPLE:

Variable on both sides

• 5x + 2 > 7x - 4

Solving an AND compound inequality

Solving an AND compound inequality

Solving an AND compound inequality

Solving an OR compound inequality

• Same as a regular inequality but do it for both!

p. 45-47: 3-14, 16-32(e), 38-50(e)

• Bonus 58 for 10 pts