Solve the Inequality for a -9a-1<26

$- 9 a - 1 < 26$

Step 1

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

Add $1$ to both sides of the inequality.

$- 9 a < 26 + 1$

Add $26$ and $1$ .

$- 9 a < 27$

Step 2

Divide each term in $- 9 a < 27$ by $- 9$ and simplify.

Divide each term in $- 9 a < 27$ by $- 9$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 9 a}{- 9} > \frac{27}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 a}{- 9} > \frac{27}{- 9}$

Divide $a$ by $1$ .

$a > \frac{27}{- 9}$

Simplify the right side.

Divide $27$ by $- 9$ .

$a > - 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a > - 3$

Interval Notation:

$(- 3, \infty)$

Solve the Inequality for a -9a-1<26

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