Final answer:
To solve the given inequality, we first combine like 'a' terms and then find a common denominator to combine the constant terms. After simplifying, we can solve for 'a' and find the solution to the inequality.
Step-by-step explanation:
To solve the inequality 4a - \(\frac{1}{5}\) - 3a - \(\frac{5}{3}\) > a, we need to combine like terms and isolate the variable on one side of the inequality.
First, we combine the 'a' terms on the left side:
\(4a - 3a = a\)
Now our inequality looks like:
\(a - \(\frac{1}{5}\) - \(\frac{5}{3}\) > a\)
Next, we need to combine the constant terms on the left side. Since \(\frac{1}{5}\) and \(\frac{5}{3}\) are fractions with different denominators, we need to find a common denominator to combine them, which is 15. After we find the equivalent fractions and subtract them, we should be able to determine the relationship between 'a' and the resulting constant, thus solving the inequality.