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Mathematics
Problem
Consider the inequality
2
x
−
k
y
≥
4
2x - ky \ge 4
2
x
−
k
y
≥
4
. The point
(
3
,
−
1
)
(3,-1)
(
3
,
−
1
)
satisfies the inequality, whereas the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
does not. Which of the following describes all possible real values of
k
k
k
? a)
k
≤
−
2
k \le -2
k
≤
−
2
b)
k
≥
−
2
k \ge -2
k
≥
−
2
c)
−
2
<
k
<
2
-2 < k < 2
−
2
<
k
<
2
d)
k
=
−
2
k = -2
k
=
−
2
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