WebJan 4, 2024 · To find the solution of the compound inequality, we look at the graphs of each inequality, find the numbers that belong to either graph and put all those numbers together. To write the solution in interval notation, we will often use the union symbol, ∪, to show the union of the solutions shown in the graphs. SOLVE A COMPOUND INEQUALITY WITH “OR.”

And & Or Inequalities How to Solve & Graph Compound Inequalities

WebThe final graph will show all the numbers that make both inequalities true—the numbers shaded on both of the first two graphs. Step 3. Write the solution in interval notation. All the numbers that make both inequalities true are the solution to the compound inequality. Solve the compound inequality. WebTo solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph. how many nascar races have there been

Solve Compound Inequalities - Minute Math

WebOct 6, 2024 · First, solve each of the inequalities independently. With the first inequality, add − 3 to both sides of the inequality, then divide by − 2, reversing the inequality sign. 3 − 2 x < − 1 − 2 x < − 4 x > 2 Shade the solution on a number line. The exact same sequence of operations can be used to solve the second inequality WebThis video provides an example of how to solve a compound inequality involving OR or the Union of two inequalities with a solution of all real numbers. The solution is also written … WebOct 6, 2024 · All but one of the techniques learned for solving linear equations apply to solving linear inequalities. You may add or subtract any real number to both sides of an inequality, and you may multiply or divide both sides by any positive real number to create equivalent inequalities. For example: 10 > − 5. 10− 7 > − 5− 7 Subtract7onbothsides. how many nasturtium per square foot