Section 2 5 compound inequalities 93 practice the solution set is a 13 5 d 4 2. Unions when an inequality is combined by the word or the compound inequality is formed.
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Or a dashed line or a solid line 4.
Compound inequalities worksheet pdf. You can combine two simple inequalities to create a compound inequality. Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Each high school pdf worksheet contains 10 multiple choices only eight in multi step based on.
This union is worked out as two separate inequalities and then graphed on a common number line. The levels are classified based on the number of steps that required solving compound inequalities. Graph the inequality with the y intercept and the slope 3.
A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e e worksheet by kuta software llc kuta software infinite algebra 1 name compound inequalities date period solve each compound inequality and graph its solution. 8x 5 8 or x 1 รบ 2. 2 3b 7 13 8.
Solve each compound inequality and graph the solutions. A compound inequality is an inequality that is formed by the union or or the intersection and of two simple inequalities. The words and and or are used to describe how the two parts are related.
5k 20 or 2k 8 10. X 3 3 or x 3 3 9. Solution first we solve each inequality separately 2x 5 6 3 or 6 x 6 0 2x 6 2 or x 6 0 x 7 1 or x 6 0 now we can graph each interval and find their union.
1 x 4 3 or 2x 6 6 4 2 0 2 4 6 8 10 2 a 9 18 or 5a 50. Write the solution set in interval notation. 15 x 8 4 6.
12 4n 28 7. Y x 2. H worksheet by kuta software llc algebra ii clark id.
K u km aasdceh dwoiqth5 2iknnf nizn5i qtxe h ba olwgpe pbgr wa a s2t. Or above the line or below the line example 1. Y x 5 example 2.
Here are two simple inequalities. First let s talk about the and also called an intersection where both inequalities are true at the same time. Compound inequality the result of combining two inequalities.
Compound and absolute value inequalities solve each compound inequality and graph its solution. Practice example 8 solve. X 2 x is greater than 2 x represents all real numbers x 6 x is.
M z2 y0r152 w vklu ot2a z ysnovf 8tcw za zr re 0 tl ul 1c a l q la hlxlk ir pimgkhptis f 0r2e 9s9e5rtvue wdu 3 g umna4d iem jw 6izt shp di fnsf oisnbi4t 0e5 qaplkgie kb irja m 92k 6 worksheet by kuta software llc kuta software infinite algebra 2 name compound inequalities date period. In this diagram set a represents some integer solutions of x 10 and set b represents some integer solutions of x 0. There are 2 types of compound inequalities and and or.
Graphing inequalities in two variables notes steps. Write the inequality in slope intercept form 2. 2s 3 7 or 3s 5 26 write a compound inequality for each problem.
2x 5 6 3 or 6x 6 0. Shade the correct side. 1 m or m.
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