Question

3.4 < 0.4(a + 12)

Explanation:

Step1: Divide both sides by 0.4

To isolate the parentheses, divide each side of the inequality \(3.4 < 0.4(a + 12)\) by \(0.4\).
\(\frac{3.4}{0.4} < a + 12\)
Calculating \(\frac{3.4}{0.4}\), we get \(8.5 < a + 12\).

Step2: Subtract 12 from both sides

To solve for \(a\), subtract 12 from both sides of the inequality \(8.5 < a + 12\).
\(8.5 - 12 < a\)
Calculating \(8.5 - 12\), we get \(-3.5 < a\), or equivalently \(a > -3.5\).

Answer:

\(a > -3.5\)