#15 **Which compound sentence has its solution set shown on the graph below?**[Graph Description]The graph is a number line that ranges from -1 to 7. There are open circles at the points 3 and 5, with a solid line connecting these two points. This indicates that the solution set includes all values between 3 and 5, but not the values of 3 and 5 themselves (i.e., 3 < x < 5).---- ○ \( 2x - 4 > 6 \) **or** \( 3x < 9 \)- ○ \( 3x + 8 < -7 \) **and** \( -4x > 12 \)- ○ \( 2x - 4 < 6 \) **and** \( 3x > 9 \)- ○ \( 3x + 8 > -7 \) **or** \( -4x < 12 \)---**Explanation:**To determine which compound sentence represents the graphed solution, we need to evaluate which inequality matches the range 3 < x < 5. - The first option, \( 2x - 4 > 6 \) or \( 3x < 9 \), simplifies to \( x > 5 \) or \( x < 3 \), which does not match the graph (values outside 3 and 5).- The second option, \( 3x + 8 < -7 \) and \( -4x > 12 \), results in no solution for x when simplified.- The third option, \( 2x - 4 < 6 \) and \( 3x > 9 \), simplifies to \( x < 5 \) and \( x > 3 \), which matches the graph (values between 3 and 5). Hence, this is the correct choice.- The fourth option, \( 3x + 8 > -7 \) or \( -4x < 12 \), simplifies to \( x > -5 \) or \( x > -3 \), which represents all real numbers and does not match the graph.Thus, the correct answer is:- ○ \( 2x - 4 < 6 \) **and** \( 3x > 9 \)

Name: #15 **Which compound sentence has its solution set shown on the graph
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: #15 **Which compound sentence has its solution set shown on the graph below?**[Graph Description]The graph is a number line that ranges from -1 to 7. There are open circles at the points 3 and 5, with a solid line connecting these two points. This in