Unizor - Algebra - System of General Inequalities - Problems 2
Channel: Zor Shekhtman on UNIZOR Education
Date: 2013-06-18

Problem A
y ≥ x^3
y ≤ x^4
x ≥ 0

Problem B
0 = (y−x)·(y−x/2)·(y−2·x)·(y+x)·(y+x/2)·(y+2·x)·x·y·(x^2+y^2−9)
x^2 + y^2 ≥ 9
x^2 + y^2 ≤ 36

Problem C
(x^2+y^2−1)·(4−x^2−y^2) &gt; 0

Problem D
We use log[a] to denote a logarithm based a
log[1/2] (x^2+y^2) ≤ 1/16
log[2] (x^2+y^2) ≤ 16