Can we find a quadratic inequality for each region of the Venn diagram?
The regions are defined as follows.
A: The solution set is a subset of \(x≤1\).
B: The solutions are given by \(a≤x≤b\) where \(a\) and \(b\) are real numbers.
C: The inequality is satisfied by \(x=4\), e.g. \(x=4\) satisfies the inequality \(x≥2\).
Here are some possible inequalities. Start by placing these into the correct region of the Venn diagram.
\(x^2≤9\)
\(11x≥2x^2\)
\(x^2+3≥2\)
\(3x^2≥21x-30\)
\(x^2≤-x\)
\(x^2≤x-2\)
\(6x^2-1≥5x\)
\(-2x^2≤x-6\)
