A farmer is comparing the number of eggs laid by two hens. The first hen laid 6 eggs per week for x weeks. The second hen laid 9 eggs per week for y weeks. The total number of eggs laid by the first hen was greater than the total number of eggs laid by the second hen. Write an inequality showing this relationship.

The needed inequality is (6 X) > (9 Y).

Step-by-step explanation:

According to the given dа ta:

The number of eggs laid by first hen per week = 6 eggs

So, the number of eggs laid by first hen in X weeks

= (Eggs Laid per week) x (X) = 6 X

So, the first hen lays a total of (6 X) eggs in X weeks.

Similarly,

The number of eggs laid by second hen per week = 9 eggs

So, the number of eggs laid by second hen in Y weeks

= (Eggs Laid per week) x (Y) = 9 Y

So, the second hen lays a total of (9 Y) eggs in Y weeks.

As given:

The total number of eggs laid by the first hen > The total number of eggs laid by the second hen.

⇒ (6 X) > (9 Y)

Hence, the needed inequality is (6 X) > (9 Y).