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The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
It is the solution set.
The question cannot be answered because there is no inequality there!
Multi-step inequalities can be solved in the same manner as multi-step equations.Follow these steps in solving a multi-step inequality: Remove all grouping symbols.Combine like terms on each side of the inequality.Use the addition property of inequality to get the variable term on one side and constant on the other.Use the multiplication property of inequality to make the coefficient on the variable 1.Check your answer.It is impossible to check every answer of an inequality because the solution set is infinite, but you can test some of the elements in the solution set.
In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.