Solve for a -3a+10<-11

$- 3 a + 10 < - 11$

Step 1

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

Subtract $10$ from both sides of the inequality.

$- 3 a < - 11 - 10$

Subtract $10$ from $- 11$ .

$- 3 a < - 21$

Step 2

Divide each term in $- 3 a < - 21$ by $- 3$ and simplify.

Divide each term in $- 3 a < - 21$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 a}{- 3} > \frac{- 21}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 a}{- 3} > \frac{- 21}{- 3}$

Divide $a$ by $1$ .

$a > \frac{- 21}{- 3}$

Simplify the right side.

Divide $- 21$ by $- 3$ .

$a > 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a > 7$

Interval Notation:

$(7, \infty)$

Solve for a -3a+10<-11

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