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Tardigrade
Question
Mathematics
The values of x satisfying | x - 4 | + | x - 9 | = 5, is :
Q. The values of x satisfying
∣
x
−
4∣
+
∣
x
−
9∣
=
5
, is :
4046
202
Linear Inequalities
Report Error
A
x = 4, 9
16%
B
4
≤
x
≤
9
42%
C
x
≤
4 or x
≥
9
27%
D
none of these
14%
Solution:
Consider the given equation
∣
x
−
4∣
+
∣
x
−
9∣
=
5
⇒
⎩
⎨
⎧
4
−
x
+
9
−
x
=
5
x
−
4
+
9
−
x
=
5
x
−
4
+
x
−
9
=
5
x
≤
4
4
<
x
≤
9
x
>
9
⇒
⎩
⎨
⎧
x
=
4
5
=
5
x
=
9
x
≤
4
4
<
x
≤
9
x
>
9
So,
4
≤
x
≤
9