Algebra-1

To solve the inequality > 2, we can follow these steps:

Step 1: Multiply both sides of the inequality by 3 (since 3 is positive, we do not need to flip the inequality):
|6a + 3| > 2 * 3
|6a + 3| > 6

Now, we have two cases to consider:

Case 1: 6a + 3 ≥ 0
If 6a + 3 ≥ 0, we can remove the absolute value symbols without changing the inequality:

6a + 3 > 6

Now, solve for a:
6a > 6 - 3
6a > 3
a > 3/6
a > 1/2

Case 2: 6a + 3 < 0
If 6a + 3 < 0, we need to flip the inequality when removing the absolute value symbols:

-(6a + 3) > 6

Simplify the expression inside the absolute value:
-6a - 3 > 6

Now, solve for a:
-6a > 6 + 3
-6a > 9

To maintain consistency with the original inequality, we need to flip the inequality sign by multiplying by -1:
6a < -9

Finally, divide both sides by 6 (since 6 is negative, we need to flip the inequality sign again):
a >
a >

Therefore, the solutions to the inequality