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:
2. 4th degree polynomial
Step-by-step explanation:
The degree is the highest exponent in the expression. Since the highest exponent is 4, this is a 4th degree polynomial.
Assume that this number is n.
Difference between two number means the subtraction between them.
Therefore, "<span>The difference between a number and 12 is 20" means that when subtracting these two numbers, the result is 20.
Since the question did not mention which number is greater, therefore, we have two ways to write the equation.
These two ways are as follows:
x - 12 = 20, and
12 - x = 20
</span>
X:{a, b, c}, because the numbers(or letters in this problem) cannot repeat.