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.
$x > - 1$
$x < - 1$
$x \leq - 1$
$x \geq - 1$

Explanation:

Step1: Analyze \(x > - 1\)

For \(x > - 1\), we use an open - circle at \(-1\) (because \(-1\) is not included) and the arrow points to the right (towards larger numbers).

Step2: Analyze \(x < - 1\)

For \(x < - 1\), we use an open - circle at \(-1\) (because \(-1\) is not included) and the arrow points to the left (towards smaller numbers).

Step3: Analyze \(x\leq - 1\)

For \(x\leq - 1\), we use a closed - circle at \(-1\) (because \(-1\) is included) and the arrow points to the left (towards smaller numbers).

Step4: Analyze \(x\geq - 1\)

For \(x\geq - 1\), we use a closed - circle at \(-1\) (because \(-1\) is included) and the arrow points to the right (towards larger numbers).

Answer:

• \(x > - 1\) matches the graph with an open - circle at \(-1\) and arrow to the right.
• \(x < - 1\) matches the graph with an open - circle at \(-1\) and arrow to the left.
• \(x\leq - 1\) matches the graph with a closed - circle at \(-1\) and arrow to the left.
• \(x\geq - 1\) matches the graph with a closed - circle at \(-1\) and arrow to the right.