Symbol for less than or Equal To

Introduction :

In math, the inequality shows the major task. In arithmetic it has many signs like greater than, less than, greater than or equal to and less than or equal to. In this list of symbols less than equal to symbol is `<=` . This less than equal to symbol specifies that, the term which is left hand side of the inequality is less than or equal to the term which is right of the inequality. In a number line it is mentioned as the closed dot on a number line and the arrow mark which is pointed to the left side of the dotted number.

Symbols and Rules:

Symbol – Symbol for less than or equal to.

`<=` This symbol is the specification of less than or equal to sign.
Rules – Symbol for less than or equal to:

When multiply the inequality term less than equal to sign by negative sign then the negative sign becomes positive and the positive sign becomes negative and the less than equal to sign becomes greater than equal to symbol.
When divide the inequality term less than sign by negative sign then the negative sign becomes positive and the positive sign becomes negative and the less than equal to symbol becomes greater than equal to sign.

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Example Problems – less than Equal to Symbol:

Example 1 – Symbol for less than or equal to:

Find the value of x from the inequality 19a+17`<=` 23

Solution:

Given, 19a+17`<=` 23

Now add the above inequality by -17 on both sides.

19a+17`<=` 23

-17 `<=` -17

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19a `<=` 6

Now divide by 19 on both sides so, a`<=` 6/19

Example 2 – Symbol for less than or equal to:

Find the value of y from the inequality -5b+83 `>=` 3.

Solution:

Given, -5b+83 `>=` 3.

Now add -83 on both sides

-5b+83`>=` 3

-83  `gt=` -83

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-5b     `>=` -80

Now multiply the above term -5b `>=` -80 by negative sign.

- (-5b `>=` -80) is 5b `<=` 80.

The answer is b`<=` 16.

Example 3 – Symbol for less than or equal to:

Find the value of y from the inequality -m+6 `>=` 4.

Solution:

Given, -m+6 `>=` 4.

Now add -6 on both sides

-m+6 `>=` 4

-6 `>=` -6

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-m      `>=` -2

Now multiply the above inequality -m `>=` -2 by negative sign.

- (-m `>=` -2) becomes m`<=` 2.

m`<=` 2 is the answer.

Example 4 – Symbol for less than or equal to:

Find the value of y from the inequality -n+5 `>=` 5.

Solution:

Given, -n+5 `>=` 5.

Now add -5 on both sides

-n+5 `>=` 5

-5  `>=` -5

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-n      `>=` -0

Now multiply the above inequality -n`>=` -0 by negative sign.

- (-n `>=` -0) is n `<=` 0.

n`<=` 0 is the simplified form of given inequality.