Algebra 1 Ch.7 Notes Page 62 P Linear Inequalities

You can also pick a check point and see if it works. > or < use a dashed line > or < use a solid line When y is by itself If y is > or > shade above the line If y is < or < shade below Linear Inequalities A Linear Inequality is an inequality whose graph is a region of the coordinate plane that is bounded by a line.

y < 3x - 1 y > 2x + 3 Linear Inequality

y > -2x + 4 y < 1/3x - 1

Standard Form and Graphing Inequalities 2x + 4y > 8 -3x + 6y < 6

Negatives When you multiply or divide on both sides of a negative in inequality problems, the sign switches directions. 5x - 8y < 16

Rewriting to Graph an Inequality -3x + -5y < 10

Your budget for a party allows you to spend no more than $12 on peanuts and cashews. Peanuts cost $2/lb and cashews cost $4/lb. Find at least 3 different combinations of peanuts and cashews that you can buy. x = peanuts in lbs y = cashews in lbs Budget