Answer:
a < [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Given
a - 15 > - 40 - 6 + 3a ← simplify right side
a - 15 > - 46 + 3a ( subtract a from both sides )
- 15 > - 46 + 2a ( add 46 to both sides )
31 > 2a ( divide both sides by 2 )
[tex]\frac{31}{2}[/tex] > a ⇒ a < [tex]\frac{31}{2}[/tex]