The name for two inequalities written as one inequality is a "compound inequality." This format expresses relationships involving two conditions simultaneously, often using "and" or "or" to connect them. For example, the compound inequality (3 < x < 7) combines two inequalities, (3 < x) and (x < 7).
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
Inequalities don't equal anything.
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
The name for two inequalities written as one inequality is a "compound inequality." This format expresses relationships involving two conditions simultaneously, often using "and" or "or" to connect them. For example, the compound inequality (3 < x < 7) combines two inequalities, (3 < x) and (x < 7).
Linear inequalities in one variable
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
compound inequality :)
Inequalities don't equal anything.
Compound inequalities is when there is two inequality signs. You will regularly graph compound inequalities on a number line.
two inequalities joined by and or or. Drew Saddler was here
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
An inequality with "and" is true if BOTH inequalities are true. Inequality with "or" is true if ONE of the inequalities are true.
What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
Instead of using y = mx + b you use y (inequality sign) mx + b. By inequality sign, I mean symbols like
Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.