How will the answer look like in interval notation?

Question

x^2-1x-6>0 Do I have to include the Union or an Infinity?

Do I have to solve the inequality first?

Answer 1

For the above answer, be sure to specify that the answer cannot actually be -2, since the inequality cannot be equal to zero, just greater.

Answer 2

x^2-x-6 > 0

(x-3)(x+2) > 0

x > 3 and x > -2

Interval Notation:

(-2, infinity)

Yes, infinity was required. There's no limit to how high the range is, because it just says greater than 3. Also, no union is required. A union is only required when a certain range of numbers is interrupted, or kind of broken in half, because just one of the numbers will not work.