Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. The inequality that represents the given graph is [tex]x>-1[/tex]. Thus option C is the correct option.
Given information-
In the given graph a number line is represents the negative five to the positive five numbers.
Graphing inequalities
Graphing Inequalities on either a number line or in the coordinate plane helps to visualize the the several forms of the inequality. There is some signs which helps to represents these inequalities to represent on the mathematical form.
Sign "<" is used refer the less than amount, sign ">" is used refer the greater than amount, sign "[tex]\leq [/tex]" is used refer the less than or equal to amount and sign "[tex]\geq [/tex]" is used refer the greater than or equal to amount .
In the given graph a number line is shown with an open circle on point -1 and shaded the number which are grater than the number -1.
Thus we use the grater than sign for x. Now x can be any value which is greater than negative one hence we can represent the given graph with the inequality [tex]x>-1[/tex].
Hence the inequality that represents the given graph is [tex]x>-1[/tex]. Thus option C is the correct option.
Learn more about the Graphing inequalities here;
https://brainly.com/question/10273289
