A17­5LinearInequalities.notebook October 15, 2014 Algebra 1 Ch.7 Notes Page 40 P40 7­5 Linear Inequalities Sep 2­8:31 AM 1 A17­5LinearInequalities.notebook October 15, 2014 Linear Inequalities A Linear Inequality is an inequality whose graph is a region of the coordinate plane that is bounded by a line. > 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 You can also pick a check point and see if it works. Feb 16­11:27 AM 2 A17­5LinearInequalities.notebook October 15, 2014 Linear Inequality y > 2x + 3 y < 3x ­ 1 Feb 16­11:27 AM 3 A17­5LinearInequalities.notebook October 15, 2014 Linear Inequality y > ­2x + 4 y < 1/3x ­ 1 Feb 23­10:04 AM 4 A17­5LinearInequalities.notebook October 15, 2014 Standard Form and Graphing Inequalities ­3x + 6y < 6 2x + 4y > 8 Feb 9­9:27 AM 5 A17­5LinearInequalities.notebook October 15, 2014 Negatives When you multiply or divide on both sides of a negative in inequality problems, the sign switches directions. 5x ­ 8y < 16 Feb 16­11:55 AM 6 A17­5LinearInequalities.notebook October 15, 2014 Rewriting to Graph an Inequality ­3x + ­5y < 10 Feb 16­11:53 AM 7 A17­5LinearInequalities.notebook October 15, 2014 Budget 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 Feb 9­9:28 AM 8 A17­5LinearInequalities.notebook October 15, 2014 HW #45 7­5 P407 #1­3,7­14,20,22,23ab,34­36,50­53 Please put your name and class period at the top of the homework. Also include the homework number. Nov 10­3:10 PM 9