Original post by sdvds
how to solve abs 2x less than or equal to abs x-1 on fx-9750gii cal
Graph y = |2x| and y = |x-1| and squint at the screen.
Graph y = |2x| - |x-1| and attempt to interpret it.
Or, better still, use a piece of paper to square both sides and solve a quadratic inequality.
Not a CLUE......
Original post by sdvds
how to solve abs 2x less than or equal to abs x-1 on fx-9750gii cal
From the definition of abs x:
Unparseable latex formula:
\displaystyle \left |2x\right | = \begin {Bmatrix} 2x & if & x>=0 \\ -2x & if & x<0 \end
Unparseable latex formula:
\displaystyle \left |x-1\right | = \begin {Bmatrix} x-1& if & x-1>=0 & -> & x>=1\\ 1-x & if & x-1<0 & -> & x<1 \end
So you have to solve the inequality on three intervals:
x<0 , 0<=x<1 and x>=1
substituting the proper term in the abs 2x and abs x-1
i.e for x<0
so here the solution is -1<=x<0 real interval
(edited 9 years ago)
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