Which of the following shows the graph of the solution to x−0.3<3.2

Question

?(1 point)
Responses

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 3.5. A line is drawn from the circle toward negative 10 with an arrow at the end.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 3.5. A line is drawn from the circle toward negative 10 with an arrow at the end.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 2.9. A line is drawn from 2.9 toward 10 with an arrow at the end.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 2.9. A line is drawn from 2.9 toward 10 with an arrow at the end.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 3.5. A line is drawn from the circle toward 10 with an arrow at the end.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 3.5. A line is drawn from the circle toward 10 with an arrow at the end.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 2.9. A line is drawn from the circle toward negative 10 with an arrow at the end.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked at 2.9. A line is drawn from the circle toward negative 10 with an arrow at the end.

Answer 1

To solve the inequality \( x - 0.3 < 3.2 \), we can start by isolating \( x \):

1. Add 0.3 to both sides of the inequality:

\[ x < 3.2 + 0.3 \]

\[ x < 3.5 \]

This means \( x \) can take any value less than 3.5.

On a number line:

• You would mark an open circle at 3.5 to indicate that 3.5 is not included in the solution set.
• The arrow would extend to the left from 3.5, indicating all values less than 3.5.

Among the provided options, the correct representation of this solution is:

A number line with arrows at both ends ranging from negative 10 to 10 in unit increments. An open circle is marked at 3.5. A line is drawn from the circle toward negative 10 with an arrow at the end.

This corresponds to the first option in your list.