text explanation

this question is calling out for plugging in! take a number like 3. we know that 3 is not greater than 3²=9. what about 10? we know that 10 is not greater than 10²=100. how about a negative number? we know that –2 is not greater than (–2)². any negative number squared will be positive, so any negative number will be less than its square. we’ve tried positive integers and negative numbers, both of which are less than their square. what numbers are left? fractions:  , , and so on. squaring a fraction makes it smaller, so those are the group of numbers that would be larger than their square. therefore the answer is (b). fractions fall between 0 and 1, so those are the values that will be greater than their square and meet the condition.