Solve following.

2x - 3 = 7

Solution

Again, p represents the quantity within the absolute value bars thus all we have to do here is plug into the formula & then solve the two linear inequalities.

2 x - 3< -7      or         2 x - 3 > 7

2 x <-4            or         2 x >10

x < -2              or        x > 5

The interval notation for these are ( -∞, -2) or (5, ∞ ) .

Okay, we next need to take a quick look at what happens if b is zero or negative. We'll do these with a set of examples and let's start with zero.