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Substitution in Systems of Nonlinear Inequalities

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Explanations 1

Background We just saw how to solve systems of nonlinear inequalities using graphing, and we even talked about what to do when there is no solution. Similar to what we've seen p…
By Anusha Rahman

Problems 3

Are there real numbers x,yx,yx,y such that x≥y2+1x \ge y^2 + 1x≥y2+1 and y≥x2+1y \ge x^2 + 1y≥x2+1?
Are there real numbers x,yx,yx,y such that x>y2x > y^2x>y2 and y>x2y > x^2y>x2?
Are there real numbers x,yx,yx,y such that x≥y2+1x \ge y^2 + 1x≥y2+1 and y≥x2y \ge x^2y≥x2?