What do you mean by "open?" Do you mean "install" or "launch?"
It looks like your OS X version is too low. 2017 TurboTax for Mac requires OS X 10.11 or higher. 2018 TurboTax for Mac requires OS X 10.12 or higher.
FAQ: System requirements for TurboTax for Mac:
https://ttlc.intuit.com/community/system-requirements/help/minimum-system-requirements-for-turbotax-...
If you have the CDs, the CD also has the Windows version if you have a PC available.
Did you recently purchase 2017 and 2018 software to prepare 2017 and 2018 returns? You can ask TurboTax Support for a refund, or to provide a download for a Windows computer, if you have one.
For a 2018 return, you can still use Online TurboTax. But you cannot prepare a 2017 return online.
