Which of the following shows the graph of the solution to x−0.3<3.2%0D%0A%0D%0A−%0D%0A0.3%0D%0A<%0D%0A3.2%0D%0A?

1 answer

The provided expression is incorrect. A valid expression should be of the form: x - 0.3 < 3.2 and 0.3 < 3.2.

From the two inequalities, we can determine the solution as follows:

x - 0.3 < 3.2, can be rewritten as x < 3.2 + 0.3, which simplifies to x < 3.5.

0.3 < 3.2 remains the same.

Therefore, the solution to the given inequalities is x < 3.5 and 0.3 < x.

To represent this solution graphically, we would draw a number line and shade the area to the left of 3.5, indicating that x is less than 3.5. Simultaneously, we would also shade the area to the right of 0.3, indicating that x is greater than 0.3.

The graph would look like this:

|--------|-------|
0.3 3.5
shaded region: <--------