Question

x,y and z are three real numbers. If x<y and z<0 then choose correct answer. (a) x×z<y×z (b) x×z>y×z (c) x×z<_y×z (d) x×z=yxz ​

Answer 1

Answer:

x<y__________(1)

and z<0

so, z is a negative number.

multiplying by z in the inequality (1) we get

x×z>y×z [negative number always changes the inequality < to >]

answer is (b)