7
QuizMultiple Choice

Solving Compound Inequalities — Unit test

Question 7 • 4413VA ALGEBRA 3 SEM A

Which is the best interpretation of the solution set for the compound inequality?3(2x + 1) > 21 or 4x + 3 < 3x + 7

Answer
A
no solution
B
3 < x < 4
C
x 4
D
all real numbers

Explanation

Solve each inequality separately: 3(2x + 1) > 21 gives 6x + 3 > 21, so x > 3. And 4x + 3 < 3x + 7 gives x < 4. Because the inequalities are joined by “or,” values can satisfy either condition; every real number is either greater than 3 or less than 4. So the solution set is all real numbers, choice D.

AI-written and checked against the verified answer.

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