Question

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 ≥ 3
x > 3
x < 3
x ≤ 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 $x\geq3$

It includes 3 and all numbers greater than 3. So it is a closed - circle at 3 and an arrow to the right.

Step2: Analyze $x > 3$

It does not include 3, only numbers greater than 3. So it is an open - circle at 3 and an arrow to the right.

Step3: Analyze $x<3$

It does not include 3, only numbers less than 3. So it is an open - circle at 3 and an arrow to the left.

Step4: Analyze $x\leq3$

It includes 3 and all numbers less than 3. So it is a closed - circle at 3 and an arrow to the left.

Answer:

$x\geq3$ matches the graph with a closed - circle at 3 and an arrow to the right.
$x > 3$ matches the graph with an open - circle at 3 and an arrow to the right.
$x<3$ matches the graph with an open - circle at 3 and an arrow to the left.
$x\leq3$ matches the graph with a closed - circle at 3 and an arrow to the left.