Question

Solve and express in interval notation

Solve: |5 – 8x| > 11 and write interval notation for the solution set. This is what I get but I need it in interval notation.

x<-3/4 or x >2



Solve: (x-3)/(x^2-25)<0 and write interval notation for the solution set.

This is what I get for this one but I need it in interval notation.

x<-5 or 3<x<5

Answer 1

The answers are correct.
To represent disjoint intervals in interval notation, we only need to join each interval using a "union sign", or ∪.
So the required answer would be:
(-∞, -3/4) ∪ (2, +∞)
Parentheses have been used in the above cases (instead of square brackets) because in each of the 4 cases, the values of the limits are to be excluded from the interval.

Answer 2

Thank you!

Answer 3

You're welcome!