Warm - UpGraph the linear equation 2y + 4x = -2.

Review

• Special Linear Equationsy = any number example: graph y = 5

X = any number example: graph x = 2

y = x

Linear System of Inequalities

Reminder

• Linear system in two variables – Has a solution that is an ordered pair (x, y). This is the point where the two linear equations intersect.

Linear Inequalities

• To check solutions for linear inequalities we substitute the given (x ,y) point into the inequality.

• Example:Tell Whether the ordered pairs (5, -1) and (-2, 6)

are solutions of the inequality 2x + 3y > 9.

Graphing linear inequalities• Put the equation into y = mx + b form.• Determine whether you will need a solid or

dotted line. • Graph the equation using the appropriate line. • Shade the solution side of the equation. • Test a point on each side of the linear equation.

Graphing the inequalities

• Example: Graph y > 1 , 2x + y < -3 and y > -3 -2x

Graphing a system of inequality

Example: Graph the system of inequality y< x + 2y > -1

Example • Graph the system of inequality y < x + 2 y > -1x > 2