Solve Inequalities with answers in Interval notation.

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 3K views
RaDitZ
Messages
3
Reaction score
0
Solve Inequalities with answers in Interval notation.



x^2 + 1 > 4x



Solve for x, U = Union

x^2 - 4x + 1 > 0
x= 3.732050808, 0.2679491924

Answer x= 3.732050808 U 0.2679491924 ?
 
Physics news on Phys.org
RaDitZ said:
Solve Inequalities with answers in Interval notation.



x^2 + 1 > 4x



Solve for x, U = Union

x^2 - 4x + 1 > 0
x= 3.732050808, 0.2679491924

Answer x= 3.732050808 U 0.2679491924 ?
What you have written, the "union" of two numbers, makes no sense at all. You take the union of sets, not numbers. You need intervals not numbers. The numbers you give, which are better written [itex]2+ \sqrt{3}[/tex] and [tex]2- \sqrt{3}[/tex], are where that left side is <b>equal</b> to 0. Then separate the intervals where it is true from the intervals where it is false. Take one value in each interval to see whether it is ">" or "<".[/itex]