Question

Which system of linear inequalities is shown in the graph?https://media.glynlyon.com/g_alg01_ccss_2013/5/img_alg01u05p14d_05.gif
A.
y > x + 4
y ≥ -3x - 2
B.
y < x + 4
y ≤ -3x - 2
C.
y > x + 4
y ≤ -3x - 2
D.
y < x + 4
y ≥ -3x - 2

Answer 1

\[\ge \ or \ \ge \ is \ represented \ by \ a \ complete \ line\]\[< \ or\ > \ is \ represented \ by \ a \ dotted \ line \]
and the equation of the 2 lines drawn in the graph is..
y= x + 4 and y = -3x - 2
the area above y = x + 4 is colored and the line is dotted.. so the inequality shown is
\[y > x + 4\]
and in the
y = -3x - 2 the area colored is the range where y values become smaller than x and the line is a complete one.. so the inequality is
\[y \ge -3x -2\]

which means the choice is A
hope this will help ya :)