The greater-than sign is a mathematical sign used to denote an inequality between 2 variables or amounts. This indication has remained in usage considering the 1560s. The indicator usually appears like equivalent– size strokes attaching in a charming angle (>).
The icon is typically placed between 2 quantities being contrasted, as well as it typically exhibits the first variable is greater than the 2nd variable. The more than sign has been used in computer shows languages to carry out various other operations
As an example, 2 > 1 and also 1 > − 2. This shows that two is greater than 1 and 1 is higher than negative 2.
Several of the instances above indicator are:
5 > 2: This inequality reveals that five is greater than 2
45 > 30: 45 is greater than 30
10/2 > 6/3: This variation can be interpreted as 5 > 2: which symbolizes that five is above 2
0.01 > 0.001 suggests that 0.01 is above 0.001
2 > -2: In this instance, it evident that good numbers are greater than negative numbers. Therefore two is higher than– 2.
How to Remember Greater than Sign?
There are three techniques to remember the Above sign.
The alligator approach of keeping in mind higher than sign
The alligator method is the most straightforward technique for bearing in mind the greater than sign. Regularly advise on your own the alligator when contrasting variables making use of the higher than sign. The alligator’s mouth is continuously wide open, so regarding swallow or galp as much food as possible. The mouth of the alligator opens typically up to the left.
The open ends approach of bearing in mind the above icon.
One more simple way to remember the more than is to keep in mind that open ends of the indication commonly face the more significant number, and the arrow indicates the smaller number.
L Approach
In this method, remember that the less than beginnings with the letter L appear like the less than an icon. In contrast, the more than symbol does not resemble and sign. For that reason, because the greater than indication does not look like an L, it cannot there be “less than.”
Resolving More Than Problems
Before attempting to fix any problem pertaining higher than sign, the complying with considerations are made:
Undergo the entire concern to understand it
Highlight the keywords to help in fixing the trouble
Identify the variables
Write the mathematical expression of the trouble-making use of the inequality symbol.
Warrant the expression
Example 1
Roy has fifteen oranges, while Marc has nineteen oranges. Discover the person having many more oranges.
Solution
Offered,
Roy has 15 oranges.
Marc has 19 oranges.
Considering that 19 is higher than 15, we compose the inequality as19 > 15.
Consequently, Marc is having many more oranges than Roy.
Example 2
Saleh has 500 USD in his savings account at the end of the year. He intends to use at the very least 200 USD in the report by the beginning of the list below year. If he makes a regular withdrawal of 25 USD, compose an expression describing this circumstance.
Solution
Begin by determining vital keyword phrases
Assume the variables, as well as let w, represent the variety of weeks
For that reason, the depiction of this scenario is:
500– 25w ≥ 200
In this circumstance, the above or equal sign has been used to provide for the situation where the total up to spend needs to amount to 200 USD.
Example 3
A student cut a 20 m rope right into two pieces. How is the much shorter as well as longer item?
Solution
Let the size of the much shorter and longer piece be y and x, respectively.
S and L have to be greater than zero meters, and their summation needs to be equal to 20 m.
Make a note of all the inequalities:
X > 0
y > 0
x < 20
y < 20
0 < x < 20
0 < y < 20
y < x
We now combine the expression:
0 < y < x < 20
x + y = 20 m
These inequalities indicate that the shorter size y is more significant than absolutely, no, and also the more extended size x is more than y, while the longer length is less than the complete 20 m. Similarly, the shorter distance and the more extended length x are equivalent to 20 m.
