Subtract. Write your answer in simplest form.
2 answers:
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Answer and explanation:
Given : Let A = {1, 2, 3, 4, 5}, let B = {1,4,5,7,8,9}, and let C = {2, 4, 6, 7,9}.
To find : Determine each of the following,
a)
b)
c)
d)
Solution :
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets.
The intersection of two sets is a new set that contains all of the elements that are in both sets.
a)
Then,
b)
c)
d)
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
= 14 - 2x ( multiply through by x , x ≠ 0 )
24 = 14x - 2x² ( subtract 14x - 2x² from both sides )
2x² - 14x + 24 = 0 ( divide through by 2 )
x² - 7x + 12 = 0 ← in standard form
(x - 3)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4