Question

select the graph that best represents the inequality.
x > -2

Explanation:

Step1: Understand inequality meaning

The inequality $x > - 2$ means all values of $x$ that are greater than -2.

Step2: Analyze graph - point type

Since it is $x > - 2$ (not $x\geq - 2$), we use an open - circle at $x=-2$ to indicate that -2 is not included in the solution set.

Step3: Analyze graph - direction

The values greater than -2 are to the right of -2 on the number line, so the arrow should point to the right.

Answer:

The graph with an open - circle at $x = - 2$ and an arrow pointing to the right. Looking at the options, it is the fourth graph (assuming the order from top - to - bottom as 1st, 2nd, 3rd, 4th) where there is an open - circle at -2 and the arrow points right.