Hi guys,
Given:
Expanding absolute value:
Note: the inequality marked in red is never true. I thinks this OK because the given is also never true for x > 1.
Questions: Have I expanded the absolute value sign correctly? If not: any hints?
Many thanks
STOP, step back and think. This is a beautiful thought question.
Is it true for any
For what is it true?
When is
Did you plot
Hi, thanks for the replies. @Plato yes i have a plot, handdrawn actually. Something wrong? Have i expanded the absolute value correctly in my first post? If so i will post the rest of my solution asap.
Sure! Let's go:
Given:
Expanding absolute value:Squaring:Sorting:Solving quad. ineq.:Combining:
Note: the inequality marked in red is never true. I thinks this OK because the given is also never true for x > 1.
Note 2: i don't know any symbol/notation for "no x".
Conclusion:
if
Does this make sense at all?