The solution set for the system of two inequalities is x < - 1.
In this question we have a system formed by two linear expressions with a single variable, x, whose solution set has to be found by algebraic procedures:
x / 2 < - 2 or - 3 > x - 2 Given
x < - 4 or - 1 > x Compatibility with addition / Compatibility with multiplication / Existence of additive inverse / Existence of multiplicative inverse / Modulative property / Trichotomy
x < - 4 or x < - 1 Tricothomy
x < - 1 Definition of disjunction / Result
The solution set for the system of two inequalities is x < - 1.
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