Hello all,

Just when I thought I completely understood union and intersection, I ran into something that I just can't figure out.

Given: $\displaystyle x\geq -2\text{ or } x \geq 5$

I get the solution: $\displaystyle [-2,\infty)$

But when replace the "or" with an "and" $\displaystyle x\geq -2\text{ and } x \geq 5$, I assume the solution is$\displaystyle [5,\infty)$. Is this correct? If not, why?

Thank you