gaokao 2015 Q4

gaokao · China · tianjin-science 5 marks Inequalities Sufficient/Necessary Conditions Between Inequality Conditions
Let $x \in \mathbb{R}$. Then ``$|x - 2| < 1$'' is ``$x^2 + x - 2 > 0$'' a
(A) sufficient but not necessary condition
(B) necessary but not sufficient condition
(C) necessary and sufficient condition
(D) neither sufficient nor necessary condition
Let $x \in \mathbb{R}$. Then ``$|x - 2| < 1$'' is ``$x^2 + x - 2 > 0$'' a

(A) sufficient but not necessary condition

(B) necessary but not sufficient condition

(C) necessary and sufficient condition

(D) neither sufficient nor necessary condition