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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, ∞)**