Now is the time to make today the first day of the rest of your life. Since this compound inequality has no connecting word written, it is understood to be and. 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. Ive never really given my students as reason for why we need to even deal with compound inequalities in the first place. Kramers electrodynamics and electronatomic radiative. It is translated into the following compound sentence. The object of solving equations and inequalities is to discover which number or numbers will create a true statement in the given expression. To solve a compound inequality, first separate it into two inequalities.
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. This is how we will show our solution in the next examples. A compound inequality is an inequality that combines two simple inequalities. Shed the societal and cultural narratives holding you back and let free stepbystep big ideas math. Solve each compound inequality and graph its solution. Student solutions shows all odds worked out step by step. On the outside of the foldable, we did one example of an and inequality and one example of an or inequality. Course 2 accelerated california edition textbook solutions reorient your old paradigms. I put no solution on a test because it doesnt make sense that x could be equal to 6 and 0 reply. Compound inequalities 1 cool math has free online cool math lessons, cool math games and fun math activities. Clicking a section title downloads the entire section with examples, practice problems and answers. Really clear math lessons prealgebra, algebra, precalculus, cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. 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.
Determine whether the answer should be a union of sets or or an intersection of sets and. For example, the following are compound inequalities. A compound inequality is made up of two inequalities connected by the word and or the word or. So, in this case, the only numbers that are not in the solution set are those from 1 to 6, inclusive. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. Solving compound inequalities algebra 1, linear inequalitites. Compound inequalities examples algebra video khan academy. Clicking just practice problems gives problems and answers. To investigate compound inequalities, watch this video. Compound inequalities book summaries, test preparation.
The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. Heres the foldable i ended up creating for my algebra 1 students this year. Full text of nationalism, politics, and the practice of. Numbers correspond to our mcdougal littell algebra 1 book sections. Solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities. Solve compound inequalities mathematics libretexts. Solve each compound inequality, graph its solution, and give interval notation.