Question

Which of the following are integer values of x that will make the statement x3 + 3 > 1 true?

Select one:

a. x < -1

b. x is less than or equal to -1

c. x = 1

d. x is greater than or equal to -1

Answer 1

x³+3>1, x³>-2.

If x<-1, x³<-1 which may or may not be greater than -2. For example, if x=-2, x³=-8 which is less than -2. So a is false.

b is also false.

If x=1, x³=1 which is greater than -2 so c is true.

If x≥-1, x³≥-1 which is greater than -2 so d is true. For example, if x=0, x³=0 which is greater than -2. And if x=-1, x³=-1 which is also greater than -2.

There should only be one correct answer, so check your question.