11
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 11 • Mathematics III

Which is the solution set of the compound inequality 3 point 5 x minus 10 is greater than negative 3 and 8 x minus 9 is less than 39 ?

Answer
A
2 is less than x comma x is less than 6
B
negative 2 is less than x comma x is less than 6
C
2 is less than x comma x is less than 3 and 3 fourths
D
negative 2 is less than x comma x is less than 3 and 3 fourths

Explanation

Solve each inequality separately. From 3.5x − 10 > −3, add 10 and divide by 3.5 to get x > 2. From 8x − 9 < 39, add 9 and divide by 8 to get x < 6. Both must be true, so the solution set is 2 < x < 6, choice D.

AI-written and checked against the verified answer.

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