To solve this inequality, we first need to distribute the coefficients and simplify:
6(1-a) - 8(3a+1) + 30a > -56 - 6a - 24a - 8 + 30a > -56 - 6a - 24a - 8 + 30a > -5-6a - 24a + 30a + 6 - 8 > -50a + 14 > -514 > -5
Since 14 is always greater than -5, the inequality is true for all values of a. Therefore, the solution is all real numbers for a.
To solve this inequality, we first need to distribute the coefficients and simplify:
6(1-a) - 8(3a+1) + 30a > -5
6 - 6a - 24a - 8 + 30a > -5
6 - 6a - 24a - 8 + 30a > -5
-6a - 24a + 30a + 6 - 8 > -5
0a + 14 > -5
14 > -5
Since 14 is always greater than -5, the inequality is true for all values of a. Therefore, the solution is all real numbers for a.