Question

Solve the inequality 9.5x−1.25<32. Which of the following graphs shows the solution?

Answer 1

To solve the inequality, we will start by isolating the variable x.

Add 1.25 to both sides:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25

Next, divide both sides by 9.5 to solve for x:
9.5x/9.5 < 33.25/9.5
x < 3.5

Now, we can analyze the answer choices and determine which graph shows the solution x < 3.5.

Graph A: The graph shows x > 3.5, which is the opposite of the solution. This is not the correct graph.

Graph B: The graph shows x < 3.5, which is the correct solution. This is the correct graph.

Graph C: The graph shows x = 3.5, which is not the solution. This is not the correct graph.

Graph D: The graph shows x > 3.5, which is the opposite of the solution. This is not the correct graph.

Therefore, the correct graph is Graph B.