Welcome Back Algebra 1-2 This presentation starts the 2nd Semester.

Today’s Objective To be able to graph linear inequalities with one variable.

Notice the circle is closed. Recall Notice the circle is closed. Graphing a linear Equality with one variable….. x = 4 -2 2 4 6

Graphing a linear Inequality with one variable….. Notice the circle is open x < 4 -2 2 4 6

Graphing a linear Inequality with one variable….. Notice the circle is open x > -2 -2 2 4 6

Graphing a linear Inequality with one variable….. Notice the circle is closed x < 4 -2 2 4 6

Graphing a linear Inequality with one variable….. Notice the circle is closed x > -2 -2 2 4 6

Will the circle be Closed or Open??? 1.) x = 6 2.) x > 0 3.) x < -3 4.) x > -1 5.) x < 7 1.) closed 2.) open 3.) open 4.) closed 5.) closed

Solving a linear Inequality p + 5 > 3 p + 5 - 5 > 3 - 5 p > -2 -2 2 4 6

Solving a linear Inequality 3x < 9 3x/3 < 9/3 x < 3 -2 2 4 6

Solving a linear Inequality The sign flips when you multiply or divide by a negative -x < 4 -x/-1 < 4/-1 x -4 > -2 2 4 6

Solving a 3-step inequality 2x - 4 < 4x - 1 2x -4x - 4 < 4x -4x - 1 -2x - 4 < - 1 -2x -4 + 4 < - 1+4 -2x < 3 -2x/-2 < 3/-2 x > -3/2

2x - 4 < 4x - 1 x > -3/2 -2 2 4 6

Classwork Do worksheet 6.1 Homework page 296 (10-40 even)