Question Details

Directions: Solve equations (I) and (II), then determine the relationship between x and y.

(I) x ÷ 4 = 6
(II) 3y = 90

Options

A

If x ≥ y

B

If x = y or no relationship can be established

C

If x < y

D

If x > y

E

If x ≤ y

Show Answer

Correct Answer :

Option C

If x < y

Solution :

Correct Answer: If x < y

To determine the relationship between x and y, we need to solve both given equations step-by-step.

Step 1: Solve Equation (I) to find the value of x

The first equation is:

x÷4=6

Multiplying both sides of the equation by 4 gives:

x=6×4

x=24

Step 2: Solve Equation (II) to find the value of y

The second equation is:

3y=90

Dividing both sides of the equation by 3 gives:

y=903

y=30

Step 3: Compare the values of x and y

From Step 1 and Step 2, we have:

x=24

y=30

Comparing these two numerical values, since 24 is less than 30, we get:

x<y

Hence, the correct option is If x < y.

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