Answer :
Answer:
x = +3 and -3
Step-by-step explanation:
Start by solving for |x| as normal:
4 - |x| = 1
- |x| = -3 (subtract 4 from both sides)
|x| = 3 (multiply both sides by -1)
the absolute value of x means it will be positive, so you need to recognize that whatever is in the absolute value bars will be made positive.
this means that x = 3 AND -3, because both |3| and |-3| = 3
check your answer by plugging x = 3 and x = -3 back in:
4 - |3| = 1
4 - 3 = 1
1 = 1
and
4 - |-3| = 1
4 - 3 = 1
1 = 1
Answer: 3 and -3
Step-by-step explanation:
Here's why: normally if this were a normal equation the answer would be -3. But the absolute value sign changes something making it 3 because of the absolute value and -3 because of the original equation answer without the absolute value symbol.