Inequality Evaluation

CAT 2001 Slot 1 · QA · Easy · Algebra

All CAT 2001 Slot 1 questionsMore Algebra questionsAll CAT QA

If x>5x > 5 and y<−1y < -1, then which of the following statements is true?

  1. A.

    (x+4y)>1(x + 4y) > 1

  2. B.

    x>−4yx > -4y

  3. C.

    −4x<5y-4x < 5y

  4. D.

    None of these

Answer

D

Explanation

Take x=6x = 6 and y=−6y = -6. Then x+4y=6−24=−18≯1x + 4y = 6 - 24 = -18 \ngtr 1. x=6x = 6 and −4y=24-4y = 24, so 6≯246 \ngtr 24. −4x=−24-4x = -24 and 5y=−305y = -30, so −24≮−30-24 \nless -30. None of the statements are universally true, so 'None of these' is correct.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace