## How do you find the intersection of an inequality?

We can graph the intersection of two inequalities on the number line. To do this, lightly graph each inequality. Then darken the line which appears in the graph of both inequalities.

**How do you know if inequalities are AND or OR?**

If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.

### What does the U mean in inequalities?

Example: x ≤ 2 or x >3 We used a “U” to mean Union (the joining together of two sets). Note: be careful with inequalities like that one. Don’t try to join it into one inequality: 2 ≥ x > 3.

**What is an intersection in math inequalities?**

When two inequalities are joined by the word and, the solution of the compound inequality occurs when both inequalities are true at the same time. It is the overlap, or intersection, of the solutions for each inequality.

#### What are the symbols for inequalities?

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.

**What does between mean in inequalities?**

2. Just “between f(a) and f(b)”, for example, means in majority of cases a non-strict inequality. The usage of “between” instead of the inequality itself is dictated by the uncertainty of which of those two values is smaller.

## What is union and intersection examples?

We can similarly define the union of infinitely many sets A1∪A2∪A3∪⋯. The intersection of two sets A and B, denoted by A∩B, consists of all elements that are both in A and_ B. For example, {1,2}∩{2,3}={2}. In Figure 1.5, the intersection of sets A and B is shown by the shaded area using a Venn diagram.

**What’s the difference between a Union and an intersection?**

Summary of Union vs. Intersection. Both union and intersection are the two fundamental operations through which sets can be combined and related to each other. In terms of set theory, union is the set of all the elements that are in either set, or in both, whereas intersection is the set of all distinct elements that belong to both the sets.

### What do you mean by intersection of inequalities?

Intersection of Inequalities When we see a statement like ” 0≤ x < 4 “, also written as ” 0≤ x and x < 4 “, or as { x : 0≤ x < 4} , the compound inequality or the word and denotes the intersection of the two sets of numbers which satisfy each inequality.

**How to graph the Union of two inequalities?**

We can graph the union of two inequalities on the number line. To do this, simply graph both inequalities: Every point on the dark line is a member of the set {x : x < 7orx≥11}. Sometimes the two inequalities will overlap. This is fine.

#### How to write Union of inequalities in set notation?

Union of Inequalities. When we see a statement like ” x < 7 or x≥11 “, written in set notation as {x : x < 7orx≥11}, the word or denotes the union of the two sets of numbers which satisfy each inequality. Thus, {x : x < 7orx≥11} = {x : x < 7}∪ {x : x≥11}.