Given: zt < -3 => z and t are of opposite sign.euro wrote:If zt < -3, is z < 4?
(1) z < 9
(2) t < -4
OA is [spoiler](E)[/spoiler]
What is the best way to attack a problem like this?
Statement 1: z < 9
z may be positive/ negative => t may be negative/positive.
Also not possible to determine whether z < 4 or not. As for t = -5, z = 3 or 5 both satisfies the given inequality: zt < -3
Not sufficient.
Statement 2: t < -4
t is negative => z is positive.
But not possible to determine whether z < 4 or not. As for t = -5, z = 3 or 5 both satisfies the given inequality: zt < -3
Not sufficient.
1 & 2 Together: t < -4 and 0 < z < 9
Taking the same example, t = -5, z = 3 or 5 both satisfies the given inequality: zt < -3
Therefore, z may or may not be less than 4.
Not sufficient.
The correct answer is E.
