Solve for a 5a+18<-27

$5 a + 18 < - 27$

Step 1

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

Subtract $18$ from both sides of the inequality.

$5 a < - 27 - 18$

Subtract $18$ from $- 27$ .

$5 a < - 45$

Step 2

Divide each term in $5 a < - 45$ by $5$ and simplify.

Divide each term in $5 a < - 45$ by $5$ .

$\frac{5 a}{5} < \frac{- 45}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 a}{5} < \frac{- 45}{5}$

Divide $a$ by $1$ .

$a < \frac{- 45}{5}$

Simplify the right side.

Divide $- 45$ by $5$ .

$a < - 9$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a < - 9$

Interval Notation:

$(- \infty, - 9)$