Question

two numbers are reciprocals if their product is equal to 1. If x and y are reciprocals and x > 1, then y must be?

Answer 1

Answer:

y must be less than 1

Step-by-step explanation:

Given two variables x and y, the reciprocal of x and y is given as 1/x and 1/y respectively.

If the product of this reciprocals is 1, then:

1/x × 1/y = 1

1/xy = 1

xy = 1

y = 1/x ... (1)

From the equation 1 gotten, it can be inferred that y is inversely proportional to x i.e increase in the value of x will lead to decrease in the value of y and vice versa.

If x>1, then y must be less than 1 i.e y<1

Answer 2

Y must be less than one aka y<1