Question

已知集合A={y|y=x^2-3/2x+1,x属于[1/4,2]},B={x|x+m^2≥1}

命题P:X属于A，命题QX属于B,且P是Q的充分条件，求实数M的取值范围

Answer 1

x+m²>=1
m²>=1-x
m²>=0, 1-x>=0, x<=1
又x∈[1/4,2], 所以x∈[1/4,1], 1-x∈[0,3/4]
m²∈[0,3/4]
0<=m²<=3/4
-√3/2<=m<=√3/2