Question

Solve the inequality 9.5x−1.25<32 . Which of the following graphs shows the solution? (make a graph using -10 through 10)
.................._________
Example: -10 -9 -8 -7 (-6) -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer 1

To solve the inequality, we must isolate the variable x.

9.5x - 1.25 < 32

Adding 1.25 to both sides:

9.5x < 33.25

Dividing by 9.5:

x < 3.5

Now, we need to determine which graph shows the solution x < 3.5.

We can plot the graph on a number line as follows:

...........-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
....----------------------------------------->

The graph should show a shaded region to the left of 3.5, indicating that all values of x less than 3.5 satisfy the inequality.

Out of the given options, the graph that correctly shows the solution is the one with a shaded region to the left of 3.5.