How do you solve |5v + 3| > - 9?

1 Answer
Aug 25, 2017

There's nothing much to do here. This inequality is true for all values of v since -9 is negative and absolute values are always greater than or equal to 0.

Explanation:

If, on the other hand, you were solving a problem like |5v+3|>9, you'd want to first say this is equivalent to the two inequalities 5v+3>9 or 5v+3<-9. Subtracting 3 from both sides of these and then dividing both sides by the positive number 5 results in v>6/5 or v<-12/5.

In other words, the solution set of the inequality |5v+3|>9 is the union (-infty,-12/5) cup (6/5,infty)