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FP1 Topic 1: Inequalities
Modulus inequalities 3 backmore
|ax2+bx+c| > 1/(dx+e)
The graph of y=1/(2x+2) is shown in blue. The graph of y = |x2-1| is also shown. but where |x2-1| > 1/(2x+2) the graph is red, otherwise it is green.

Therefore there are three regions where |x2-1| > 1/(2x+2).

Change the values of a, b, c, d or e and solve |ax2+bx+c| > dx+e


Summary
  • In solving |ax2+bx+c| > 1/(dx+e), you need to solve |ax2+bx+c| = 1/(dx+e) first
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