*Mark, a mathematics enthusiast, loves composing tutorials for stumped students and also those who need to brush increase on their math skills.You are watching: How many of the integers that satisfy the inequality*

If you're analysis this, you're probably in search of some clarity about how to find every one of the integers (whole numbers) that accomplish an inequality in between two numbers. Probably you've been presented v a problem that look at something choose this:

-2 ≤ X

## Terms and also Symbols to Be familiar With

**Integer:**An creature is any kind of whole number. This consists of positive whole numbers (like 1, 2 and 3), negative whole numbers (like -1, -2 and -3), and zero (0).

**Positive Integer:**A positive integer is any type of whole number greater than 0 (like 1, 2, 3 and so on).

**Negative Integer:**A negative integer is any type of whole number less than 0 (like -1, -2, -3 and so on). An adverse integers are came before by the symbol "-" so the they deserve to be identified from confident integers

**X:**X is the price we use as a variable, or placeholder because that our solution. In the case of inequalities, X normally represents a collection of numbers quite than a solitary number

**>:**This symbol means "greater than" and is used to show that the number come its left (the open side) is higher than the number to its best (the pointy side).**≤:**This symbol method "less 보다 or equal to" and also is provided to indicate that the number to its left (the pointy side) is less than or equal to the number to its right (the open side).**≥:**This symbol way "greater than or same to" and is provided to indicate that the number come its left (the open side) is better than or same to the number come its ideal (the pointy side).## How to Find every one of the Integers That fulfill an Inequality

Now the we're acquainted with all of our terms and symbols, let's take another look in ~ the instance given above. We want to find a collection of numbers the is a solution to:

-2 ≤ X

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*This contents is accurate and true to the ideal of the author’s knowledge and is not meant to substitute because that formal and also individualized advice from a default professional.*