SAT Math · Linear inequalities in one or two variables · medium
What is the solution set of the system x > -3, x ≤ 5, and 2x - 1 < 9?
What is the solution set of the system , , and ?
Answer and explanation
Answer: B: -3 < x < 5
Solve the third inequality first: gives , so . All three conditions must hold at once: , , and . The upper limits and overlap, and the stricter one wins, since fails . The solution is , choice B. Choice A keeps , which wrongly allows . Choice C () drops the lower bound. Choice D uses 9, which is the right side of the third inequality before solving, an unfinished step.
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