If the positive integer x is 1 more than a multiple of 8, then x is the square of an integer. The statement can be proven false by using which of the following values of x as a counterexample?
a) 25
b) 33
c) 37
d) 49
e) 50
B because 33 is 1 more than 32 which is a multiple of 8, but 33 is not the square of an integer
The answer is B. 33 = 8(4) +1 but 33 is not a square of an integer
*How to avoid careless mistakes on math section?
Circle the uknown @SpaceX
but what about 50 and 37?
50= 8x+1
49 = 8x
49 is not a multiple of 8
37 = 8x +1
36 = 8x
36 is not a multiole of 8
@Sarit10 a counterexample * to the statement “If A, then B” is a case where A is true, but B is false. 33 is a counterexample since 33 = 84 + 1 but is not a square. 50 and 37 are not counterexamples because they don’t even satisfy the first condition (A).