Hi Mike, can you explain how to solve SAT 8, Section 3, #6 as a “system of equations?” Thanks.
Sure, use substitution (well, the transitive property of inequality, instead of how we usually use the transitive property of equality).
Note that both inequalities have in them, (and that none of the answer choices do). Do a teeny bit of rearranging to get by itself in the first inequality:
Now you have and . That means it must be true that , which we simplify to to match the format of the answer choices.