Answer:
a < 2
Explanation:
To solve the inequality 5a + 9 < 2a + 15, let's isolate the variable 'a' on one side of the inequality sign.
5a + 9 < 2a + 15
First, let's get all the terms with 'a' on one side and the constants on the other side. To do this, subtract 2a from both sides of the inequality:
5a - 2a + 9 < 2a - 2a + 15
This simplifies to:
3a + 9 < 15
Next, to isolate a, subtract 9 from both sides:
3a + 9 - 9 < 15 - 9
3a < 6
Finally, divide both sides by 3:
a < 6 / 3
a < 2