Question

When does a compound inequality with OR have a solution that is the entire number line? Can the solution be bounded to one side? On two sides? Can there be no solution?

Answer 1

Concept: Algebraic Analysis

1. 
   `\geqslant \: \: \: \: \: \: \: \: \: \: \leqslant`
2. Those two symbols indicate one solution
3. 
   `< \: \: \: \: \: \: \: >`
4. Those symbols indicate a range of values
5. 
   `x < 15 < x`
6. Indicates two bounded answers
7. In an inequality there is always a solution