**See Also**

inequalities video, integers video, number line video, number sense video, numbers video.

This math video tutorial gives a step by step explanation to a math problem on "Comparing Integers On A Number Line Using Inequalities".

Comparing integers on a number line using inequalities video involves inequalities, integers, number line, number sense, numbers. The video tutorial is recommended for 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, and/or 9th Grade Math students studying Algebra, Geometry, Trigonometry, Probability and Statistics, Arithmetic, Basic Math, Pre-Algebra, Pre-Calculus, and/or Advanced Algebra.

In mathematics, an inequality is a statement about the relative size or order of two objects, or about whether they are the same or not.

The notation a < b means that a is less than b.

The notation a > b means that a is greater than b.

The notation a ≠ b means that a is not equal to b, but does not say that one is greater than the other or even that they can be compared in size.

In each statement above, a is not equal to b. These relations are known as strict inequalities. The notation a < b may also be read as "a is strictly less than b". In contrast to strict inequalities, there are two types of inequality statements that are not strict:

The notation a ≤ b means that a is less than or equal to b (or, equivalently, not greater than b)

The notation a ≥ b means that a is greater than or equal to b (or, equivalently, not smaller than b)

The notation a < b means that a is less than b.

The notation a > b means that a is greater than b.

The notation a ≠ b means that a is not equal to b, but does not say that one is greater than the other or even that they can be compared in size.

In each statement above, a is not equal to b. These relations are known as strict inequalities. The notation a < b may also be read as "a is strictly less than b". In contrast to strict inequalities, there are two types of inequality statements that are not strict:

The notation a ≤ b means that a is less than or equal to b (or, equivalently, not greater than b)

The notation a ≥ b means that a is greater than or equal to b (or, equivalently, not smaller than b)

The integers are the set of numbers consisting of the natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}.

In mathematics, a number line is a picture of a straight line on which every point corresponds to a real number and every real number to a point. Often the integers are shown as specially-marked points evenly spaced on the line. Although this image only shows the integers from −9 to 9, the line includes all real numbers, continuing "forever" in each direction, and also numbers not marked that are between the integers. It is often used as an aid in teaching simple addition and subtraction, especially involving negative numbers. It is divided into two symmetric halves by the origin, i.e. the number zero.

The number line is most often represented as being horizontal. Customarily, positive numbers lie on the right side of zero, and negative numbers lie on the left side of zero. An arrowhead on either end of the drawing is meant to suggest that the line continues indefinitely in the positive and negative reals. The real numbers consist of irrational and rational numbers, as well as integers, whole numbers, and the natural numbers (the counting numbers).

The number line is most often represented as being horizontal. Customarily, positive numbers lie on the right side of zero, and negative numbers lie on the left side of zero. An arrowhead on either end of the drawing is meant to suggest that the line continues indefinitely in the positive and negative reals. The real numbers consist of irrational and rational numbers, as well as integers, whole numbers, and the natural numbers (the counting numbers).