Compound inequality is formed when two or more simple inequalities are combined together using the words ‘and’ or ‘or. Compound inequalities are graphed on a number line to check which numbers fall into the interval of the given inequality. Compound inequality calculator is a fun online tool which can provide the intervals of the inequalities.
Example 1: Given the inequalities x ≥ -1 and x ≥ 4. Graph them on the number line
Given inequalities: x ≥ -1 and x ≤ 4
Since the two inequalities are joined by the term ‘and’, it means that the solution set of both the inequalities are the common numbers also called as an intersection of both the solution sets!
Hence the solution set is the common region between -1 and 4
Solution set: -1 ≤ x ≤ 4
Example 2: Given the inequalities x < -1 or x > 4. Graph them on the number line.
Given inequalities: x < -1 or x > 4
Since the two inequalities are joined by the term ‘or’, it means that the solution set of both the inequalities is accepted as the solution can be of the first inequality or the solution can be of the second inequality!
Here the solution set contains both the regions since they are joined by the term ‘or’.
Solution set: (-∞, -1) U (4, ∞)