Which set of numbers best describes the possible values of x in the equation below?

[x-1]=[x]

a) all integer values of x

b) all real number values of x

c) only negative values of x

d) only fractional values of x

Answer with explanation:

The given equation which includes greatest integer function

   [ x -1 ] = [x ]

Using property of greatest integer functions

⇒ [x ] -1 =[x]

Cancelling [ x ], from both sides, gives

0 = -1,

Which will be not true for any value of x.

⇒⇒

[x]=x -{x}, where x, is positive real number and {x} is fractional part of x.

Also, [x]=x-1+{x}, where x, is any negative  real number and {x} is positive fractional part of x.

None of the Option given is true.

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step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet