Question

State, True or False :

(i) $x<-y\Rightarrow -x>y$

(ii) $-5x\ge 15\Rightarrow x\le -3$

(iii) $2x\le -7\Rightarrow \frac{2x}{-4}\ge \frac{-7}{-4}$

(iv) $7>5\Rightarrow \frac{1}{7}<\frac{1}{5}$

Answer 1

(i)muliplying both sides by a negative sign changes inequality symbol
hence true

(ii)dividing both sides with a negative term changes inequality
true

(iii)same above concept applied hence true

(iv)reciprocating both sides changes inequality hence
statement implied is true