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

A Level Student · Mar 10, 2018

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 · Mar 10, 2018

Hello A Level Student and welcome to MHB! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?

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

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