Question

drag & drop the answer
match each statement with the correct graph.
$y < 6$
$y geq 6$
$y leq 6$
$y > 6$

Explanation:

Step1: Analyze open - circle and direction for \(y < 6\)

An open - circle at \(6\) and arrow pointing down (towards smaller values) represents \(y < 6\).

Step2: Analyze open - circle and direction for \(y>6\)

An open - circle at \(6\) and arrow pointing up (towards larger values) represents \(y > 6\).

Step3: Analyze closed - circle and direction for \(y\leq6\)

A closed - circle at \(6\) and arrow pointing down (towards smaller values) represents \(y\leq6\).

Step4: Analyze closed - circle and direction for \(y\geq6\)

A closed - circle at \(6\) and arrow pointing up (towards larger values) represents \(y\geq6\).

Answer:

First number line (open - circle at \(6\), arrow down): \(y < 6\); Second number line (open - circle at \(6\), arrow up): \(y>6\); Third number line (closed - circle at \(6\), arrow down): \(y\leq6\); Fourth number line (closed - circle at \(6\), arrow up): \(y\geq6\)