40
QuizMultiple Choice

Unit Test — Cumulative exam

Question 40 • FL-1200375-Algebra 1-A CR Semester 2

Which best describes the solution set for the compound inequality below?2(x + 7) – 1 > 15 or 3(x + 2) < 2x + 7

Answer
A
no solution
B
x = 1
C
all real numbers except x = 1
D
all real numbers

Explanation

Solve each inequality separately. The first gives 2(x + 7) − 1 > 15, so 2x + 13 > 15 and x > 1. The second gives 3(x + 2) < 2x + 7, so 3x + 6 < 2x + 7 and x < 1. Since the inequalities are joined by “or,” every real number except 1 satisfies at least one of them. The correct choice is “all real numbers except x = 1.”

AI-written and checked against the verified answer.

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