Answer:
[tex]D) y \geq -1[/tex]
Skills needed: Linear Inequalities
Step-by-step explanation:
1) Here we are given an inequality, which means that we have a variable that has various values that are greater than or less than or greater than and equal to or less than and equal to or equal to a certain value (or values). Inequalities are an important of Algebra.
--> First, let's look at some characteristics. The entire blue region denotes in the inequality.
--> There is a solid line that separates the blue region from the blank region in this graph.
--> This inequality will deal with the variable [tex]y[/tex] as it relates to the up and down values, and not the left and right ([tex]x[/tex]) values.
2) The blue region is all greater than the value of [tex]-1[/tex], which is the [tex]y[/tex] value that the solid blue line crosses through.
The solid line indicates that the value of [tex]-1[/tex] is also included in the range of values for the variable [tex]y[/tex].
This means that it is [tex]\geq[/tex] and not [tex]\>[/tex]>.
3) Therefore, we know it is [tex]y[/tex], [tex]\geq[/tex], and [tex]-1[/tex]
---> [tex]y \geq -1[/tex]
