If |x + 1| = 6, what are the possible values for x?

A.) -5 and 7

B.) -1 and 1

C.) 5 and -7

D.) 5 and -5

E.) 5 and 7

A.) -5 and 7

B.) -1 and 1

C.) 5 and -7

D.) 5 and -5

E.) 5 and 7

Absolute value is the distance away from zero.

Absolute value is the distance away from zero.

In a more basic example:

If |x| = 3, then x could be 3 or -3 {if the distance from zero is 3, then x could be 3 or -3}

In the given example:

If |x + 1| = 6, then

x + 1 = 6 or x + 1 = -6 {if (x + 1) is 6 away from zero, then (x + 1) could be 6 or -6}

x = 5 or x = -7 {subtracted 1 from each side of each equation}

**C.) 5 and -7**

*- Algebra House*