In this diagram set a represents some integer solutions of x 10 and set b represents some integer solutions of x 0. 2s 3 7 or 3s 5 26 write a compound inequality for each problem.

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2 3b 7 13 8.

Compound inequalities worksheet pdf. 5k 20 or 2k 8 10. 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. 15 x 8 4 6.

Section 2 5 compound inequalities 93 practice the solution set is a 13 5 d 4 2. Or a dashed line or a solid line 4. 1 x 4 3 or 2x 6 6 4 2 0 2 4 6 8 10 2 a 9 18 or 5a 50.

2x 5 6 3 or 6x 6 0. The words and and or are used to describe how the two parts are related. Graph the inequality with the y intercept and the slope 3.

This union is worked out as two separate inequalities and then graphed on a common number line. Practice example 8 solve. A compound inequality is an inequality that is formed by the union or or the intersection and of two simple inequalities.

Unions when an inequality is combined by the word or the compound inequality is formed. Here are two simple inequalities. Compound and absolute value inequalities solve each compound inequality and graph its solution.

The levels are classified based on the number of steps that required solving compound inequalities. Or above the line or below the line example 1. Solve each compound inequality and graph the solutions.

8x 5 8 or x 1 ú 2. Y x 5 example 2. Write the solution set in interval notation.

Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. 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. K u km aasdceh dwoiqth5 2iknnf nizn5i qtxe h ba olwgpe pbgr wa a s2t.

X 2 x is greater than 2 x represents all real numbers x 6 x is. X 3 3 or x 3 3 9. First let s talk about the and also called an intersection where both inequalities are true at the same time.

There are 2 types of compound inequalities and and or. 12 4n 28 7. You can combine two simple inequalities to create a compound inequality.

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. Shade the correct side. Each high school pdf worksheet contains 10 multiple choices only eight in multi step based on.

Graphing inequalities in two variables notes steps. H worksheet by kuta software llc algebra ii clark id. Y x 2.

1 m or m. Compound inequality the result of combining two inequalities. Write the inequality in slope intercept form 2.

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