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Standard XI
Mathematics
NCERT
Question
Solve the given inequalities graphically:
2
x
+
y
≥
6
and
3
x
+
4
y
≤
12
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Solution
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Given equations are
2
x
+
y
≥
6
⇒
y
=
6
−
2
x
and
3
x
+
4
y
≤
12
⇒
y
=
12
−
3
x
4
Let
f
(
x
)
=
6
−
2
x
and
g
(
x
)
=
12
−
3
x
4
Intersection of this two lines is shown in figure.
Region is shown in the graph.
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