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p in (-oo:+oo)
p > (2/3)*(p-(1/2)) // - (2/3)*(p-(1/2))
p-((2/3)*(p-(1/2))) > 0
(-2/3)*(p-1/2)+p > 0
p-2/3*(p-1/2) > 0
p-2/3*(p-1/2) > 0
1/3*p+1/3 > 0
1/3*p+1/3 > 0
1/3*p+1/3 > 0 // - 1/3
1/3*p > -1/3 // : 1/3
p > -1/3/1/3
p > -1
(-oo:-1) (-1:+oo) 1/3*p+1/3 - +
p in (-1:+oo)
(-1:+oo)
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