Definition and idea
A system of inequalities in one variable is a list of conditions f1(x)≷0, f2(x)≷0,… that must hold simultaneously. The solution is the intersection of the solution sets of each inequality.
If even one condition is never satisfied, the whole system is inconsistent (empty set).
Solve stepwise: find the intervals for each inequality separately, then on one axis look for the overlap.
Linear and quadratic inequalities from earlier lessons reduce to unions of rays and segments
Write the answer as an interval or a union; if the intersection is empty, state explicitly that there is no solution
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