Question

-0.5=---------, where [x] represents the greatest integer function​

Answer 1

Answer is -1.while checking greatest integer function you should be take a conjugative integer at left side of number,in this case which is 1.

Answer 2

The greatest integer function, denoted by [x], gives the greatest integer less than or equal to x.

So, for -0.5, the greatest integer less than or equal to -0.5 is -1.

Therefore, [x] = -1 and the equation becomes:

-0.5 = -1

The greatest integer function, denoted by [x], is a mathematical function that gives the greatest integer less than or equal to x. For example, [2.4] = 2, [-1.7] = -2, [5] = 5, etc.

In the given equation, we are looking for the value of x that satisfies the equation -0.5 = [x]. This means we are looking for a number x, such that its greatest integer value is -1.

The greatest integer less than or equal to -0.5 is -1, as -1 is the largest integer value that is less than or equal to -0.5. Therefore, we can say that [x] = -1.

Substituting this value in the given equation, we get:

-0.5 = -1

This is not a true statement, as -0.5 is not equal to -1. Therefore, there is no real number x that satisfies the equation -0.5 = [x].


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