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Byju's Answer
Other
Quantitative Aptitude
Solving Inequalities
Find the rang...
Question
Find the range of
x
2
+
6
x
+
5
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Solution
f
(
x
)
=
x
+
6
x
+
5
=
(
x
−
3
)
+
14
−
(
x
−
3
)
≤
0
,
for all x real.Add 14 to both sides of the inequality
(
x
−
3
)
+
14
≤
14
.
The left side is the given function. Hence the range is given by the interval
(
−
∞
,
14
)
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