Question

1. what is the correct graph for the inequality ( x > - 1 )?

a. closed circle at - 1 with shading to the left
b. closed circle at - 1 with shading to the right
c. open circle at - 1 with shading to the right
d. open circle at - 1 with shading to the left

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x > - 1\) has a "greater than" symbol (\(>\)). When the symbol is \(>\) or \(<\), we use an open - circle on the number line (because the value itself is not included in the solution set).

Step2: Determine the direction of shading

Since \(x\) is greater than \(-1\), the values of \(x\) are to the right of \(-1\) on the number line.

Answer:

C. Open circle at - 1 with shading to the right