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To solve the inequality
, first, let’s rearrange it by subtracting
from both sides. This gives us
, which simplifies to
. This tells us that
must be less than the opposite of
. This relationship helps us understand how values of
and
can interact, especially in problems involving constraints and inequalities.
Furthermore, in real-world applications, such inequalities might represent resource management scenarios. For instance, if
stands for the production capacity of a factory and
represents the demand from consumers, ensuring
can indicate that production isn’t meeting demand, necessitating adjustments in resources or output to better align with market needs.