Indifference curves cannot ever be concave for two goods

Indicate whether the statement is true or false

False. While indifference curves are typically convex, they can be concave. This means, however, that the MRS of y for x increases as x increases. That is, the consumer places greater value on the next x the more x she has. The interpretation is that a consumer with concave indifference curves prefers to specialize in either x or y but not have a mix of both.