Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. match the inequalities in the left column below with the appropriate number line graph in the right column. each graph will be used only once. $x \geq 3$ $x > 3$ $x < 3$ $x \leq 3$ click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. the target will highlight or the cursor will change. need help? watch this video.

Explanation:

Step1: Analyze \( x \geq 3 \)

A closed dot at 3 (since 3 is included) and the arrow points right (for values greater than or equal to 3). The second number line has a closed dot at 3 and right arrow.

Step2: Analyze \( x > 3 \)

An open dot at 3 (since 3 is not included) and arrow right (for values greater than 3). The third number line has an open dot at 3 and right arrow.

Step3: Analyze \( x < 3 \)

An open dot at 3 (since 3 is not included) and arrow left (for values less than 3). The fourth number line has an open dot at 3 and left arrow.

Step4: Analyze \( x \leq 3 \)

A closed dot at 3 (since 3 is included) and arrow left (for values less than or equal to 3). The first number line has a closed dot at 3 and left arrow.

Answer:

• \( x \geq 3 \) matches the second number line (with a closed dot at 3 and arrow to the right).
• \( x > 3 \) matches the third number line (with an open dot at 3 and arrow to the right).
• \( x < 3 \) matches the fourth number line (with an open dot at 3 and arrow to the left).
• \( x \leq 3 \) matches the first number line (with a closed dot at 3 and arrow to the left).