Let `S={x in R: x ge 0 and 2|(sqrt(x)-3|+sqrt(x)(sqrt(x)-6)+6=0}` then S (1) is an empty set (2) contains exactly one element (3) contains exact;y two elements (4) contains exactly four elements

Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} Then S

If f(x)+2f(1/x)=3x , x!=0, and S={x in R :f(x)=f(-x)} ; then S: (1) is an empty set. (2) contains exactly one element. (3) contains exactly two elements. (4) contains more than two elements

An atom of element X contains 3 protons, 3 electrons and 4 neutrons: What could element X be?

The set of all values of lambda for which the system of linear equations: 2x_(1)-2x_(2)+x_(3)=lambda x_(1)2x_(1)-3x_(2)+2x_(3)=lambda x_(2) has a non-trivial solution,(1) is an empty set (2) is a singleton ( 3) contains two elements (4) contains more than two elements

sqrt (2x) -sqrt (3y) = 0sqrt (3x) -sqrt (3y) = 0

The solution set of the equation,(x+1)log32x+4x(log)_(3)x-16=0 is an empty set a singleton a set consisting of exactly two elements a set consisting of more than two elements

If a set X contains n(n>5) elements,then what is the number of subsets of X containing less than 5 elements

Solve for x and ysqrt(2)x-sqrt(3)y=0,sqrt(5)x+sqrt(2)y=0

Let X be any non-empty set containing n elements. Then what is the number of relations on X ?