If |x+2|=3, what are the two possible values of x+2?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
| x + 2 | = 3
Detrmine the two possible values of x + 2
Solution:
In order to determine the two possible values of x + 2, we simply need to understand the absolute value sign that is enclosing the equation. The absolute value sign || denotes that any value inside the sign will be equal to the positive value of the number or term. This means that we can either have 3 or -3 in the equation, and it will result to 3. Hence, we can solve the problem by substituting, 1 and then -5 separately.
| 1 + 2 | = 3
| 3 | = 3
3 = 3
| -5 + 2 | = 3
| - 3 | = 3
3 = 3
Final answer:
The two possible value of x + 2 are:
(-5 + 2 )and (1 + 2)