Inequality Sign For At Most

Less Than or Equal To

Less than or equal to relation is one of the inequalities used to represent the relation between 2 not-equal numbers or other mathematical expressions. Nosotros know that the 'less than' symbol is used to prove that one quantity is lesser than the other quantity, and the 'is equal to' symbol is used to show that two quantities are equal. Similarly, at that place is a symbol of less than or equal to in math which is used to show that one quantity can exist less than the other quantity or equal to the other quantity.

1.	What is Less Than or Equal To?
two.	Less Than or Equal to Symbol in Words
3.	Less Than or Equal to Pregnant
4.	Less Than or Equal to on a Number Line
5.	FAQs on Less Than or Equal to

What is Less Than or Equal To?

'Less than or equal to', as the proper noun suggests, ways a variable is either less than or equal to another number, variable, or quantity. 'Less than or equal to' can also be expressed as at most, no more than than, a maximum of, and non exceeding. Notice the following figure to run across the symbol that shows a 'less than' sign with a sleeping line under it.

Less Than or Equal To Symbol in Word

Let united states understand the less than or equal to symbol in words with an instance. James works at a departmental store, and he is paid on an hourly basis. He can work for a maximum of 8 hours per solar day. Practice you know what'south meant past the term maximum, here? This means James can work for less than or equal to 8 hours per day in the store. Let united states of america correspond the number of hours James worked as x hours. So, we can write the given example mathematically every bit, 10 ≤ 8.

Less than or equal to Symbol

Less Than or Equal To Meaning

We come beyond certain statements involving the signs '≤' and '≥' which are called inequalities. Both inequalities accept unlike meanings. Nosotros can easily sympathise them by comparison. Here are some comparisons of these symbols and their examples forth with their meanings.

Symbol	Example	Meaning
Less than or equal to, ≤	x ≤ 7	The value of ten is less than or equal to 7.
− v ≤ x ≤ three	The value of ten should lie betwixt − 5 and 3, inclusive of both values.
Greater than or equal to, ≥	x ≥ 2	The value of ten is greater than or equal to 2.
2 ≥ x ≥ − 1	The value of x should lie between − i and 2, inclusive of both values.

Less Than or Equal to on a Number Line

Inequalities like less than or equal to and greater than or equal to are represented in a dissimilar mode on a number line. To denote these, we use the closed circle to mark the limit value and indicate the arrow towards the given condition of inequality. Let us meet this on a number line given beneath:

Less than or equal to on a Number line

Nosotros can see that when we want to denote 'ten less than or equal to - five', we marked a circle at - 5 and pointed an arrow towards the values less than - 5, as suggested in the condition of inequality. Similarly, when we desire to denote 'x greater than or equal to - two', nosotros marked a circumvolve at - two and pointed an arrow towards the values greater than - two, as suggested in the status of inequality.

Related Topics:

Check out the interesting topics to learn more about less than or equal to, and its related topics.

Number Line
Greater Than Calculator
How To Make a Greater Than or Equal to Sign
Greater Than or Equal To

Important Notes:

Following are the notes that help in the concept of less than or equal to.

Same numbers can either be added or subtracted on both sides of an inequality without changing the sign of inequality.
Aforementioned positive numbers can either be multiplied or divided into both sides of an inequality without changing the sign of inequality.
Same negative numbers can either be multiplied or divided on both sides of an inequality and the sign of inequality gets reversed.

Less Than or Equal To Examples

Example 1: A classroom can occupy lx written report tables at most. Limited this statement using the less than or equal to symbol.

Solution:

Permit's represent the number of study tables past the variable x.

It is given that the classroom can occupy a maximum of 60 study tables.

And then, this can be represented by a simple inequality.

∴ x ≤ threescore

Therefore, the condition is represented every bit x ≤ sixty, where x is the number of tables.
Example 2: Charles had eighteen chocolates which he was going to distribute to his friends on his altogether. Since the box was open, he lost some chocolates on the manner. If x is the number of chocolates that Charles currently has, write an inequality using the 'less than or equal to' symbol that represents this situation.

Solution:

Number of chocolates Charles had initially = 18

Since he lost some chocolates, the number of chocolates with him currently is less than 18.

x < 18 ⋯(1)

We know that the number of chocolates should be a non-negative quantity. Hence,

ten ≥ 0

This inequality can also be written equally:

0 ≤ ten ⋯(two)

From the inequalities (one) and (2), we get,
0 ≤ x < 18

Therefore, the number of chocolates Charles has is represented equally 0 ≤ 10 < eighteen.
Example iii: Jolly's instructor asked her to find the numbers that vest to the set up equally shown on the blackboard.

Can you assistance her?

Solution:

We know that Z is the set of integers.

The given prepare is:

{10∈Z|10≤four}

This means that nosotros have to discover all the integers that are less than or equal to iv.

Since the set of integers is infinite, the numbers that belong to the given gear up are:

..., −3, −2, −i, 0, 1, 2, 3, 4

Therefore, the numbers in the given set are ..., −three, −ii, −i, 0, 1, 2, three, 4.

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Practice Questions

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FAQs on Less than or Equal to

How Do Y'all Type Less Than or Equal To?

Less than or equal to is represented by the symbol ≤. Then if we want to write x is less than or equal to 6, nosotros write information technology as ten ≤ half-dozen, which means that 10 tin can take any value from negative infinity to 6 only not more than six.

What Does Less Than or Equal To Mean?

Less than or equal to in math means that y'all can't have more something, yous must have either less than or equal to the given limit. 'Less than or equal to', as the name suggests, means a number is either less than or equal to another number. It tin also be expressed as at most, no more than, a maximum of, and non exceeding.

How Do Y'all Utilize Less Than or Equal To?

Less than or equal to is used to express an inequality where a variable or an expression could be less than or equal to a number, variable, or expression. For example, a ≤ ii, x + y ≤ 6, p ≤ 6q+8, etc.

What is the Difference Betwixt Less Than and Less Than or Equal To?

The inequality 'less than' is represented past the symbol < whereas the inequality 'less than or equal to' is represented as ≤. The inequality 'less than' means that some variable or number can accept whatsoever value that is less than the given limit, non more that or equal than that limit, but the inequality 'less than or equal to' states that the number or variable can be equal or less than the given limit. Here, the inclusion of the limit is the difference.

What is an Example of Less Than or Equal To?

If nosotros have an inequality: ten ≤ 4, this means that we accept to find all the integers that are less than or equal to 4. Since the set of integers is infinite, the numbers that belong to the given set are: ...,−3,−2,−1,0,1,2,3,4.

What is Another Word for Less Than or Equal To?

'Less than or equal to', in math, means something is either less than or equal to some other quantity. 'Less than or equal to' tin can also exist expressed equally at near, no more than, a maximum of, and not exceeding.