Solve the Inequality for a 14<-2a+6-2a

$14 < - 2 a + 6 - 2 a$

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

$- 2 a + 6 - 2 a > 14$

Subtract $2 a$ from $- 2 a$ .

$- 4 a + 6 > 14$

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

Subtract $6$ from both sides of the inequality.

$- 4 a > 14 - 6$

Subtract $6$ from $14$ .

$- 4 a > 8$

Divide each term in $- 4 a > 8$ by $- 4$ and simplify.

Divide each term in $- 4 a > 8$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 a}{- 4} < \frac{8}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 a}{- 4} < \frac{8}{- 4}$

Divide $a$ by $1$ .

$a < \frac{8}{- 4}$

Simplify the right side.

Divide $8$ by $- 4$ .

$a < - 2$

The result can be shown in multiple forms.

Inequality Form:

$a < - 2$

Interval Notation:

$(- \infty, - 2)$

Solve the Inequality for a 14<-2a+6-2a

Related Questions

Support LCMGCF.com by disabling your adblocker.