Is 3/5 Greater Than 5/6

In mathematics, the greater than symbol is a basic mathematical symbol which is used to stand for the inequality between two values. The symbol used to represent the greater than inequality is " > ". This is the universally adopted math symbol of two equal length strokes joining in the astute bending a t the right. Also, larn less than symbol , which denotes only the reverse of greater than expression.

The typical use of the greater than symbol is to compare two values in which the first number is greater than the second number or one value is greater than the other one. The greater than symbol is an approximation of a closing angle subclass. Nosotros tin can see its huge application in descending order , where the arrangement from the largest number to smallest number is done using greater than a symbol.

Greater than Symbol Instance

five > 2: 5 is greater than 2
1.ii > 0.viii: i.ii is greater than 0.8
-0.1 > -0. 6: -0.1 is greater than -0.6

Here the listing of all the symbols along with greater than symbol with its definition and examples are given in item.

Symbol	Description	Example
=	Equal to	3+2 = 5
≠	Non equal to	4 + 2 ≠ 5
>	Greater than	vi > iv
≥	Greater than or equal to	Students ≥ v
<	Less than	3 < 5
≤	Less than or equal to	Students ≤ fifty

How to Use Greater than Symbol?

The best manner to remember the greater than symbol is the alligator method. When you compare two values, think of the alligator method. We know that the alligator'southward mouth is always pointed to the largest value as it can eat as much as possible. In order to represent the greater value by using greater than symbol the alligator mouth e'er opens to the left.

Greater than And Less than Symbol

To represent the greater value by comparison with other numbers, the alligator's oral fissure is always towards the larger value. To correspond the inequality betwixt two numbers say 6 and viii, information technology is written in two dissimilar ways every bit given below.

Greater than Sign

- 8 > 6 (or)

Greater Than Symbol

Less than Sign

The above expression can as well be represented using less than sign as:

- half dozen < eight

Less than symbol

Both give the aforementioned meaning equally 8 is greater than 6.

At that place are some other terminologies used alternately with greater than such every bit more than, equally much as, every bit old as, not less than, or at least.

Greater Than or Equal to Sign

Sometimes nosotros may observe scenarios where the result obtained by solving an expression for a variable, which are greater than or equal to each other. In such cases, we can employ the greater than or equal to symbol, i.e. ≥. For example, x ≥ -iii is the solution of a certain expression in variable x.

Word Problems

Before solving the greater than symbol inequality word issues, make attending to some strategies given below to solve the problem

Go through the entire trouble
Highlight the important keywords to solve the problem
Recognize the variables
Write down the equation
Solve the trouble
Write the solution in a complete judgement format
Justify the answer.

Question: Ramya has 500 rupees in a savings business relationship at the get-go of the summer. She wants to have at least rupees 200 in the account by the end of the summer. She withdraws rupees 25 every week. Write the inequality expression that represents the Ramya situation.

Solution:

- Highlight the important keyword given

The keyword given hither is at least

- Assume the variable

Let ten be the number of weeks

- So, the inequality expression is

500 – 25x ≥ 200

Note that here we used greater than or equal symbol instead of using greater than a symbol because Ramya wants to have money which is equal to greater than 200 past the finish of the summer. So, greater than or equal to the inequality symbol is used.

Examples

Example 1: Fill up in the blanks with the suitable sign.

45 ____ 84
77 ____ 76
12 + 27 ____ 39
98 – 23 ____ 54

Solution:

45 < 84
77 > 76
12 + 27 = 39
98 – 23 ____ 54

Here, 98 – 23 = 75 > 54

Thus, 98 – 23 > 54

Example ii: In the following pair of numbers, identify the greater number and write using the symbol.

-18, -25; -1.5, -i.8

Solution:

Given numbers are: -18, -25

In negative numbers, the number with greater numeral value is less than the number with lesser numerical value.

Thus, -xviii is greater than -25, i.eastward. -18 > -25.

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Frequently Asked Questions – FAQs

What do y'all hateful by greater than symbol?

Greater than symbol is used when nosotros take to compare 2 values, in which one value is greater than another value. It is denoted by the symbol '>'. Examples are:
10>9, 10 is greater than nine which is truthful
7>ane, 7 is greater than one
five>2, 5 is greater than ii

What do yous mean by less than symbol?

Less than symbol is used to compare 2 quantities where one is smaller than the other. Information technology is denoted by the symbol '<'. Examples are:
9<10, 9 is less than 10
1<7, 1 is less than vii
2<5, two is less than five

What is smaller than the symbol?

The smaller than symbol is, the less than a symbol, used to compare if i value is smaller than the other one. For example, 8 is smaller than 10, 8<x.

What is greater than or equal to a symbol?

In linear inequalities, greater than or equal to the symbol is used when nosotros are uncertain if the i value is greater than or equal to some other value. It is represented past the symbol '≥'. In the same manner, less than or equal to a symbol (≤) is used to represent when 1 quantity is either smaller than or equal to some other quantity.
Example: 4x + 7 ≥ 6x +three

Which is greater 0.five or 0.25?

0.v is greater than 0.25. Symbolically it is represented as 0.v>0.25.

Which is greater ⅗ or ½?

We tin bank check either by rationalising the denominator or finding the actual value of ⅗ and ½.
By rationalisation, we become;
⅗ x (two/ii) and ½ 10 (five/5)
6/ten and five/x
So as we can come across denominators are equal and 6 is greater than 5, therefore,
⅗ > ½
Check:
⅗ = 0.6 and ½ = 0.5
0.6>0.5