Which is a counterexample that shows the statement is false? If you square a number, then the answer is greater than the number.


A. (1/2)^2= 1/2 x 1/2 = 1/4


B. (3/2)^2= 3/2 x 3/2 = 9/4


C. (2)^2= 2x2 = 4


D. (5)^2= 5x5 = 25

Respuesta :

Answer:

A. ([tex]\frac{1}{2}[/tex])² = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer choice (A) is the counterexample because squaring number [tex]\frac{1}{2}[/tex] results into number [tex]\frac{1}{4}[/tex] which is less than [tex]\frac{1}{2}[/tex] .

Answer: A. (1/2)^2= 1/2 x 1/2 = 1/4

Step-by-step explanation: