2 Two Mistakes on This Slideshow See if you can spot them!
3 x ≤ 4The graph of an inequality is the set of points on a number line that are solutions.The graph is a boundary point and a line with an arrow pointing left or right.
4 x > 2A hollow point means that the number is not included in the set of solutions.Use a hollow point to graph < and > inequalities.
5 x ≥ -3A solid point means that the number is included in the set of solutions.Use a solid point to graph ≤ and ≥ inequalities.
6 < x -1 The arrow points left for < and ≤ . x<-1The arrow points left for < and ≤ .The arrow points right for > and ≥ .The direction of the arrow tip is the same as the direction of the inequality symbol when the variable is on the left side.
7 Solve inequalities just as you would linear equations in one variable Solve inequalities just as you would linear equations in one variable. Isolate the variable. Then graph the solution.x - 5 > -4x > 1-1123415a ≤ -60-7-6-5-4-3-2a ≤ -4
8 The only difference between solving an inequality and an equation is what happens when both sides are multiplied or divided by a negative value.10 > 5(2)(2)Multiply by positive20 > 10Inequality stays true20 > 10(-2)(-2)Multiply by negative-40 > -20Inequality not true<Reverse direction ofinequality symbol-40-20
9 ≤ When solving an inequality, REVERSE THE DIRECTION OF THE INEQUALITY SYMBOL if you multiply or divide by a negative value.-¾a ≥ 6Multiply by -4/3Reverse direction ofinequality symbol≤a-8
10 Solve the following inequalities and graph each solution. ¼x > -8x > -32-34-33-32-31-30-29a ≤ 50474849505152
11 Solve the following inequalities and graph each solution Solve the following inequalities and graph each solution. Write the variable on the left in your solution.42 > xx < 42394041424344-3 < xx > -32 > -1 - x-5-4-3-2-1