State, true or false : (i) x -y ⇒ -x y (ii) -5x 15 ⇒ x -3 (iii) 2x -7 ⇒ (iv) 7 > 5 ⇒

(i) Given, x -y ∴ -x y [Using rule 5] Hence, the statement is True . (ii) Given, -5x 15 Dividing both sides of the above inequation by -5, ⇒ x -3 [Using rule 4] Hence, the statement is False . (iii) Given, 2x -7 Dividing both sides of the above inequation by -4, ⇒ [Using rule 4] Hence, the statement is True . (iv) Given, 7 5 Taking reciprocals, [Using rule 6] Hence, the statement is True .