-1/2(x-3)=1/4

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Solution for -1/2(x-3)=1/4 equation:


x in (-oo:+oo)

(-1/2)*(x-3) <= 1/4 // - 1/4

(-1/2)*(x-3)-(1/4) <= 0

(-1/2)*(x-3)-1/4 <= 0

-1/2*(x-3)-1/4 <= 0

(-1/2*4*(x-3))/4-1/4 <= 0

-1/2*4*(x-3)-1 <= 0

5-2*x <= 0

(5-2*x)/4 <= 0

(5-2*x)/4 <= 0 // * 4^2

4*(5-2*x) <= 0

( 4 )

4 <= 0

x belongs to the empty set

( 5-2*x )

5-2*x <= 0 // - 5

-2*x <= -5 // : -2

x >= -5/(-2)

x >= 5/2

(-oo:5/2) (5/2:+oo) 4 + + 5-2*x + -

x in <5/2:+oo)

<5/2:+oo)

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