Vene T. Bogoslavov: Collection of Solved Problems #1

MR-827

Determine the set (geometric position) of all points in the plane for which the distance ratio from the point F(3,0) and from the line v: 3x-4=0 is 3:2!

MR-693 / 1.

Which of the following sentences are statements?

a) *1+1 = 2*

b) the number *16* is an odd number

c) an even number can be written in the form *2n*, where *n* is a natural number

d) the solution of the equation *3x=18* is a natural number

e) *( a-b) ^{2 }≥ 0* for every rational

*a*and

*b*

f)

*ab > 0*if

*a*and

*b*are of the same sign

g)

*a*if

^{2 }> 0*a*is a negative number

h)

*- a*if

^{2}< 0*a*is a negative number