Solve 3a+1>-7a-14/-4

$$3 a + 1 > \frac { - 7 a - 14 } { - 4 }$$

Solve for a

$$a>2$$

Solution Steps

Multiply both sides of the equation by -4. Since -4 is negative, the inequality direction is changed.

$$-12a-4<-7a-14$$

Add 7a to both sides.

$$-12a-4+7a<-14$$

Combine -12a and 7a to get -5a.

$$-5a-4<-14$$

Add 4 to both sides.

$$-5a<-14+4$$

Add -14 and 4 to get -10.

$$-5a<-10$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$a>\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$a>2$$