Solve the Inequality for a 3.4<0.4(a+12)

$3.4 < 0.4 (a + 12)$

Rewrite so $a$ is on the left side of the inequality.

$0.4 (a + 12) > 3.4$

Divide each term in $0.4 (a + 12) > 3.4$ by $0.4$ and simplify.

Divide each term in $0.4 (a + 12) > 3.4$ by $0.4$ .

$\frac{0.4 (a + 12)}{0.4} > \frac{3.4}{0.4}$

Simplify the left side.

Cancel the common factor of $0.4$ .

Cancel the common factor.

$\frac{0.4 (a + 12)}{0.4} > \frac{3.4}{0.4}$

Divide $a + 12$ by $1$ .

$a + 12 > \frac{3.4}{0.4}$

Simplify the right side.

Divide $3.4$ by $0.4$ .

$a + 12 > 8.5$

Move all terms not containing $a$ to the right side of the inequality.

Subtract $12$ from both sides of the inequality.

$a > 8.5 - 12$

Subtract $12$ from $8.5$ .

$a > - 3.5$

The result can be shown in multiple forms.

Inequality Form:

$a > - 3.5$

Interval Notation:

$(- 3.5, \infty)$