what is the inequality that is represented ny the graph ? f._< -4 g.x>-4 h. -4<x<5 j.x -> -4
From the options provided, the correct inequality that is represented by the graph would be:
j. x > -4
To determine this, let's break down the options:
f. x ≤ -4: This represents the values of x that are less than or equal to -4. However, the graph does not include any points on or to the left of -4, so this option is not correct.
g. x > -4: This represents the values of x that are greater than -4. Looking at the graph, all the points on the graph are to the right of -4, but do not include -4. Hence, this option is the correct answer.
h. -4 < x < 5: This represents the values of x that are greater than -4 and less than 5. However, the graph extends to the right beyond 5, so this option is not correct.
j. x ≥ -4: This represents the values of x that are greater than or equal to -4. However, the graph does not include any point on -4 or to the left, so this option is not correct.
Therefore, the correct inequality represented by the graph is x > -4.