Less 보다 or same to relation is among the inequalities used to represent the relation between two non-equal numbers or various other mathematical expressions. We know that the ' 'greater than' price is supplied to show that one amount is better than the various other quantity, the 'lesser than' symbol is used to present that one quantity is lesser 보다 the other quantity, and also the 'is same to' symbol is supplied to show that two amounts are equal. Similarly, over there is a price of less than or equal to in math which is used to present that one quantity deserve to be much less than the other quantity or equal to the other quantity.

You are watching: Less than (<), greater than (>), and not (not equal to) are examples of ____.

1.What is much less Than or same To?
2.Less than or same to prize in Words
3.Less than or same to Meaning
4.Less than or equal to on a Number Line
5.FAQs on much less Than or same to

What is much less Than or equal To?


'Less 보다 or same to', as the name suggests, means a variable is either much less than or equal to another number, variable, or quantity. 'Less 보다 or equal to' can likewise be expressed as at most, no much more than, a maximum of, and also not exceeding. Watch the following figure to watch the price that shows a 'less than' sign with a resting line under it.


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Less 보다 or equal To prize in Word


Let us understand the less than or equal to symbol in words through an example. James functions at a departmental store, and also he is payment on an hourly basis. He can work because that a maximum of 8 hrs per day. Execute you understand what’s meant by the hatchet maximum, here? This means James can work for much less than or same to 8 hrs per work in the store. Permit us stand for the number of hours James functioned as x hours. So, we have the right to write the given instance mathematically as, x ≤ 8.

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Less 보다 or equal To Meaning


We come across particular statements including the indications '≤' and '≥' i m sorry are referred to as inequalities. Both inequalities have various meanings. Us can easily understand castle by comparison. Right here are some comparisons of this symbols and their examples in addition to their meanings.

SymbolExampleMeaning

Less than or equal to, ≤

x ≤ 7

The worth of x is much less than or same to 7.

− 5 ≤ x ≤ 3

The value of x have to lie between − 5 and 3, inclusive that both values.
Greater 보다 or equal to, ≥

x ≥ 2

The value of x is higher than or equal to 2.

2 ≥ x ≥ − 1

The worth of x should lie in between − 1 and 2, inclusive that both values.

Less than or equal to ~ above a Number Line


Inequalities like much less than or equal to and greater 보다 or same to are stood for in a different method on a number line. To signify these, we use the closeup of the door circle to note the limit value and allude the arrowhead towards the given problem of inequality. Let united state see this on a number line provided below:

We can see that when we desire to denote 'x much less than or same to - 5', we significant a circle at - 5 and also pointed an arrowhead towards the values much less than - 5, as said in the condition of inequality. Similarly, when we want to represent 'x higher than or same to - 2', we significant a circle in ~ - 2 and also pointed an arrowhead towards the values greater than - 2, as argued in the condition of inequality.

Less than or same to related Topics

Check the end the interesting topics to learn an ext about less than or equal to, and its related topics.

Important Notes

Following are the note that assist in the principle of much less than or equal to.

Same optimistic numbers have the right to either be multiplied or separated into both sides of one inequality without an altering the sign of inequality.Same an unfavorable numbers can either be multiply or separated on both sides of one inequality and the sign of inequality it s okay reversed.

Example 2: Charles had 18 chocolates which he was going to distribute to his friend on his birthday. Because the box was open, he lost some chocolates top top the way. If x is the variety of chocolates the Charles currently has, compose an inequality using the 'less than or equal to' symbol the represents this situation.

Solution:

Number the chocolates Charles had actually initially = 18

Since he shed some chocolates, the number of chocolates v him currently is much less than 18.

x

Example 3: Jolly's teacher asked her to find the numbers that belong come the collection as shown on the blackboard.

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Can you assist her?

Solution:

We understand that Z is the collection of integers.

The given collection is:

x∈Z

This method that we have actually to discover all the integers the are much less than or same to 4.

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

..., −3, −2, −1, 0, 1, 2, 3, 4

Therefore, the numbers in the given collection are ..., −3, −2, −1, 0, 1, 2, 3, 4.