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A region is given by x ≥ 0, y ≥ 0, x + y ≥ 2… · Answer | StemPy Lab
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A region is given by x ≥ 0, y ≥ 0, x + y ≥ 2 and x ≤ 4. Which statement is true?
Mathematics
Medium
High School (11–12)
Algebra › Linear Inequalities
Algebra › Linear Programming
Board Exam
SAT
CUET UG
Created by
StemPy Lab
A region is given by
x
≥
0
x \ge 0
x
≥
0
,
y
≥
0
y \ge 0
y
≥
0
,
x
+
y
≥
2
x + y \ge 2
x
+
y
≥
2
and
x
≤
4
x \le 4
x
≤
4
. Which statement is true?
It is empty, because
x
+
y
≥
2
x + y \ge 2
x
+
y
≥
2
clashes with
x
≤
4
x \le 4
x
≤
4
It is bounded, because it has four corners
It is unbounded, because
y
y
y
can grow without limit
It is bounded, because
x
x
x
is at most
4
4
4
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