Which linear inequality is graphed with y > –x – 2 to create the given solution set?
1 answer:
The Linear inequality that is graphed with y > –x – 2 to create the given solution set is; y < x + 1
<h3>How to interpret Inequality Graphs?</h3>From the attached graph of inequalities, we see that one of the lines has its' y - intercept as -2 with a slope of -1. Thus, the equation in slope intercept form is; y = -x - 2.
The shaded region will have the inequality; y > -x - 2.
The other line has its' y - intercept as 1 and a slope of 1.
Thus, the equation of line is; y = x + 1.
The shaded part is above the line and as such the inequality region is represented by the inequality y < x + 1.
Read more about Inequality Graphs at; brainly.com/question/11234618
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Answer:
k = -8
Step-by-step explanation:
The location of P is ...
P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)
Putting this point into the equation for the line, we have ...
2(3) -(-2) +k = 0
8 +k = 0
k = -8
