Practice Test

Question 7 • Algebra II

Which graph shows the solution set of the compound inequality 1 point 5 x minus 1 is greater than 6 point 5 or 7 x plus 3 is less than negative 25 ?

Answer

Image with description A number line lists negative 10 to 10 by 5. An open circle is on negative 4, and another one is on 5 are connected.

Image with description A number line lists negative 10 to 10 by 5. An open circle on negative 4 and another one on 5, and the arrows go in opposite directions.

Image with description A number line lists negative 10 to 10 by 5. An open circle is on 5, and the arrow goes to the right of 5.

Image with description A number line lists negative 10 to 10 by 5. An open circle on negative 4 and an arrow goes to the left of negative 4.

Explanation

Solve each part separately: 1.5x − 1 > 6.5 gives 1.5x > 7.5, so x > 5. And 7x + 3 < −25 gives 7x < −28, so x < −4. Because the conditions are joined by “or,” the graph has open circles at −4 and 5, with rays extending left from −4 and right from 5. That matches choice B.

AI-written and checked against the verified answer.

Back to All Questions

More from this Course

Practice Test

Practice Test

Practice Test