Question

unit solving equations and inequalities progress. 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 \\) clear 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 $x\geq3$ graph

A closed dot at 3, arrow right.
Matches 4th number line (closed dot at 3, right arrow).

Step2: Analyze $x>3$ graph

An open dot at 3, arrow right.
Matches 2nd number line (open dot at 3, right arrow).

Step3: Analyze $x<3$ graph

An open dot at 3, arrow left.
Matches 4th number line? No, correction: open dot 3, left arrow is 4th? No, recheck: 1st number line is open dot 3, left arrow. Yes, matches $x<3$.

Step4: Analyze $x\leq3$ graph

A closed dot at 3, arrow left.
Matches 3rd number line (closed dot 3, left arrow).

Answer:

• $x \geq 3$ ↔ 4th number line (closed dot at 3, arrow pointing right)
• $x > 3$ ↔ 2nd number line (open dot at 3, arrow pointing right)
• $x < 3$ ↔ 1st number line (open dot at 3, arrow pointing left)
• $x \leq 3$ ↔ 3rd number line (closed dot at 3, arrow pointing left)