Question

Pls help I really need this!!!

For what values of x is the function
positive?
y = |x +4|-1

Answer 1

Answer: x > -3 or x < -5

Explanation:

The function is positive when y > 0.

So if we make this function into an inequality, we can solve for the values of x.

0 < |x + 4| -1

1 < | x + 4 |

Absolute values make the answer always positive despite the sign so now we have to solve for x when x + 4 > 1 and when x + 4 > -1.

x = 1 - 4 = -3

x = -1 -4 = -5

So for the function to be positive,

x > -3 or x < -5