How do you solve $|-2x+1|<1$ ?

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How do you solve $|-2x+1|<1$ ?

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Answer 1 · 2018-03-03T13:58:56

$x>0andx<1$

Explanation:

$|M+N|<$ $KhArr$ $M+N<(K)and$ $M+N>(-K)$
So,
$|-2x+1|<1hArr-2x+1<1and-2x+1>(-1)$
$hArr-2x<1-1and-2x>(-1)-1$
$hArr-2x<0and-2x>(-2)$
Dividing both sides by (-2),
$hArrxcolor(red)(>)0andxcolor(red)(<)1$ (ineqalities change)

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How do you solve $|-2x+1|<1$ ?

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How do you solve |-2x+1|<1|-2x+1|<1?

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How do you solve $|-2x+1|<1$ ?