Question

DQuestion 18 5 pts Determine what signs on values of x and y would make the statement true. Assume that x and y are not 0. a2y< 0 O y must be negative O x and y have different signs O x must be negative O x and y must be negatiye

Answer 1

x² > 0 either x is positive or negative

so to make the statement x²y<0 to be true is y must be negative

Also if x and y are negative then also the statement x²y<0 is true since x²>0 even if x is negative

so options (1) and (4) makes the statement true

[option(2) does not hold because if x is negative and y is positive then x²y>0 since x²>0;y>0

so statement is not true

also option (3) does not hold since sign of x doe not matter in the statement x²y<0]