Hi there!
Let's solve this inequality step by step!
[tex] - 2a > 6[/tex]
First divide both sides by 2.
[tex] - a > 3[/tex]
To find the value of a, we must get rid of the negative sign in front of it, so we divide both sides by -1. When dividing by a negative, we must flip the sign.
Hence,
[tex]a < - 3[/tex]
Additonal note:
This solution makes sense because of the following reason: when a number that has been made negative is bigger than 3, the number itself must be smaller than -3 (when we add an extra minus sign to -3, it becomes 3; so every number smaller than -3 will become bigger than 3 when we add another minus sign).
~ Hope this helps you!
