Question

graph this compound inequality: ( x < 8.3 ) or ( x > 9.8 ) drag a point to the number line.

Explanation:

Step1: Analyze \( x < 8.3 \)

For the inequality \( x < 8.3 \), we use an open circle (since \( 8.3 \) is not included) and draw an arrow to the left (for all values less than \( 8.3 \)). On the number line, \( 8.3 \) is between \( 8 \) and \( 9 \). The first open - circle left - pointing arrow is suitable for this part.

Step2: Analyze \( x > 9.8 \)

For the inequality \( x > 9.8 \), we use an open circle (since \( 9.8 \) is not included) and draw an arrow to the right (for all values greater than \( 9.8 \)). On the number line, \( 9.8 \) is between \( 9 \) and \( 10 \). The third open - circle right - pointing arrow is suitable for this part.
To graph the compound inequality \( x < 8.3 \) or \( x > 9.8 \), we place the open - circle left - pointing arrow at \( 8.3 \) (by dragging the first open - circle left - pointing arrow to the position corresponding to \( 8.3 \) on the number line) and the open - circle right - pointing arrow at \( 9.8 \) (by dragging the third open - circle right - pointing arrow to the position corresponding to \( 9.8 \) on the number line).

Answer:

To graph \( x < 8.3 \) or \( x > 9.8 \):

• For \( x < 8.3 \), drag the open - circle left - pointing arrow to the position on the number line corresponding to \( 8.3 \) (between \( 8 \) and \( 9 \)).
• For \( x > 9.8 \), drag the open - circle right - pointing arrow to the position on the number line corresponding to \( 9.8 \) (between \( 9 \) and \( 10 \)).