Heres the foldable i ended up creating for my algebra 1 students this year. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. The solution to this compound inequality is all the values of x in which x is either greater than 6 or x is less than 2. Solve compound inequalities mathematics libretexts. Full text of nationalism, politics, and the practice of. Now is the time to make today the first day of the rest of your life. For example, the following are compound inequalities. So, in this case, the only numbers that are not in the solution set are those from 1 to 6, inclusive. The main techniques you use to find such solutions include factoring, applying the multiplication property of zero, creating sign lines, finding common denominators, and squaring both sides of an equation. Compound inequalities book summaries, test preparation. To solve a compound inequality, first separate it into two inequalities. A compound inequality is an inequality that combines two simple inequalities. On the outside of the foldable, we did one example of an and inequality and one example of an or inequality. The graph of a compound inequality with an and represents the intersection of the graph of the inequalities.
Solve each compound inequality and graph its solution. Since this compound inequality has no connecting word written, it is understood to be and. A compound inequality is made up of two inequalities connected by the word and or the word or. Compound inequalities 1 cool math has free online cool math lessons, cool math games and fun math activities. Solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities.
Solve each compound inequality, graph its solution, and give interval notation. This is how we will show our solution in the next examples. Really clear math lessons prealgebra, algebra, precalculus, cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. The object of solving equations and inequalities is to discover which number or numbers will create a true statement in the given expression. A new, essentially classical method of description of inelastic atomic processes, both radiative and collisional, caused by electrons of low and moderate energies typical for most plasmas is developed and quantummechanically substantiated. I put no solution on a test because it doesnt make sense that x could be equal to 6 and 0 reply.
Ive never really given my students as reason for why we need to even deal with compound inequalities in the first place. Student solutions shows all odds worked out step by step. Numbers correspond to our mcdougal littell algebra 1 book sections. To investigate compound inequalities, watch this video. Determine whether the answer should be a union of sets or or an intersection of sets and.
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