Consider a student’s work in determining the solution set of x > 2(y – 1)^2 – 2.

Test point: (2.25, 1.25)

x > 2(y – 1)^2 – 2

2.25 > 2(1.25 – 1)^2 – 2

2.25 > 2(0.25)^2 – 2

2.25 > 2(0.0625) – 2

2.25 > 0.125 – 2

2.25 > –1.875

Conclusion: The point (2.25, 1.25) satisfies the given inequality.

Solution set:



Which element, if any, shows an error in the student’s work?

There are no errors.
The conclusion statement is incorrect.
The graph of the solution set is incorrect.
The substitution of x and y values is incorrect.