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.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: