A compound inequality is an inequality that combines two simple inequalities.
How do you solve a compound inequality on a number line?
For example, x > 6 or x
What is a compound inequality examples?
Compound inequalities are the derived form of inequalities, which are very useful in mathematics whenever dealing with a range of possible values. For example, after solving a particular linear inequality, you get two solutions, x > 3 and x
How do you write and compound inequalities?
The graph of a compound inequality with an “and” represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x
What is an inequality solution?
A “solution” of an inequality is a number which when substituted for the variable makes the inequality a true statement. Here is an example: Consider the inequality. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.
How do you solve absolute value inequalities?
Isolate the absolute value expression on the left side of the inequality. If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds.
How do you solve inequalities with two variables?
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality. The graph of an inequality in two variables is the set of points that represents all solutions to the inequality.
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