Solve the inequality 9.5x−1.25<32 . Which of the following graphs shows the solution? (make a graph using -10 through 10)

Answer 1

To solve the inequality 9.5x - 1.25 < 32, we can first add 1.25 to both sides of the equation:

9.5x - 1.25 + 1.25 < 32 + 1.25

This simplifies to:

9.5x < 33.25

Next, we can divide both sides of the equation by 9.5 to isolate x:

(9.5x)/9.5 < 33.25/9.5

This simplifies to:

x < 3.5

Now we can graph this solution on a number line or a coordinate plane. The solution includes all values of x that are less than 3.5. Therefore, the solution is all values to the left of 3.5 on the number line.

The correct graph that shows this solution would have an open circle at x = 3.5 and an arrow pointing to the left, indicating that the solution includes all values less than 3.5.

Here is a possible representation of the graph:

<-----|-----(o)------------------+-----------------------------+

-10 -5 0 5 10