exam Maths Puzzle Numerical Ability

Please explain how are inverses are used to solve linear systems? And if you can add an example or two.

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exam Other Question

IF A,B ARE THE ROOTS OF X^2+PX+1=0 AND C,D ARE THE ROOTS OF X^2+QX+1=0 THEN FIND (A-C)(B-C)(A+D)(B+D). PLease help me solve these 4 linear equations

x-4<-6

x+12<-5x

2x+3>x-1

7-5x<22