solve the inequality and graph the solution. Type the inequality as an interval. |x+1| > 3

Answer 1

Solution to this is the following 2 equations

x +1 > 3 and

x +1 < - 3

Solving these gives us x > 2 and x < - 4 or otherwise written as -4 > x > 2

Answer 2

When solving an absolute value inequality, we must set up two inequalities and solve them both.

| x + 1 | > 3 produces the two equations

x + 1 > 3 or x + 1 < -3

subtract 1 from both sides of each inequality gives us:

x > 2 or x < -4

Answer 3

When solving an absolute value inequality, we must set up two inequalities and solve them both.

| x + 1 | > 3 produces the two equations

x + 1 > 3 or x + 1 < -3

subtract 1 from both sides of each inequality gives us:

x > 2 or x < -4