Question

If > denotes + ; < denotes - ; + denotes $÷$ ; - denotes =; = denotes 'less than'; and x denotes 'greater than'; then which of the following is INCORRECT statement ?

• A. 3 + 2 > 4 x 9 + 3 < 2
• B. 3 > 2 > 4 x 18 + 3 < 1
• C. 3 > 2 < 4 x 8 + 4 < 2
• D. 3 + 2 < 4 x 9 + 3 < 3

Answer 1

Answer: (D)

3 + 2 < 4 x 9 + 3 < 3

Option A:

3 + 2 > 4 x 9 + 3 < 2

After using given conditions, we get

$3÷2+4>9÷3-2$

$\frac{11}{2}>1\to$ True.

Option B:

3 > 2 > 4 x 18 + 3 < 1

After using given conditions, we get

$3+2+4>18÷3-1$

$9>5\to$ True.

Option C:

3 > 2 < 4 x 8 + 4 < 2

After using given conditions, we get

$3+2-4>8÷4-2$

$1>0\to$ True.

Option D:

3 + 2 < 4 x 9 + 3 < 3

After using given conditions, we get

$3÷2-4>9÷3-3$

$\frac{-5}{2}>0\to$ False.

Hence, option D.