A situation in which we set the maximum limit for anything. Suppose if we say that an employer hires someone and tells him that the maximum we pay our delivery guys is 15,000 rupees per month. What the employer means by using the word maximum is that they cannot pay their delivery guys more than 15,000 rupees a month which automatically means that their monthly wage can be either 15,000 rupees or less than 15,000 rupees. So this entire situation can be summed up as
The employer pays his workers ≤ 15,000 rupees per month.
Another situation when the less than equal sign can come to play is algebraic equations. We can use it between two variables indicating that the first variable, which is stated before the less than equal to sign is either smaller than or equal to the second variable, which is used after the less than equal to symbol.
If an algebraic equation goes like 2x+4y ≤ 3a+6b
This complex equation can simply mean two things, either that the sum of 2x and 4y is less than the sum of 3a and 6b or the sum of the former is equal to the sum of the latter. This depends upon the values of the four variables used in this specific equation i.e. x, y, ‘a’, and b.
Another condition in which the less than equal sign can be used is if we wish to set a limit for something between two values. This means that if we want to consider all the values between two values inclusive of the two limiting values, we can use the greater than or equal to sign.
2 ≤ x ≤ -6
The above equation means that the value of the variable x lies between 2 and -6. This means that the value can either be any number that falls between 2 and -6 or it can also be 2 or -6 itself.