Solving Inequalities Involving |x+2| & |x2 -3ax+2a2|

[A Level Student]

1) Solve for x, in terms of a, the inequality |x2 -3ax + 2a2| < |x2 +3a - a2| where x is real . a is not 0.
2ai) By means of a sketch or otherwise, state the range of values of a for which the equation |x+2| = ax + 4 has 2 distinct real roots.
2aii)Solve the inequality |x+2| < ax + 4.

 

[Greg]

Hello A Level Student and welcome to MHB! :D

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