ID: 756
How many integers are in the solution of the inequality |x + 5| < 10
Aligned LLM's Response:
The
solution
of
the
inequality
|
x
+
5
|
<</a>
1
0
depends
on
the
value
of
x
that
satisfies
the
inequality
.
There
are
an
infinite
number
of
values
of
x
that
can
satisfy
this
inequality
,
so
there
is
no
specific
number
of
integers
in
the
solution
.
However
,
we
can
find
the
range
of
values
for
x
by
solving
the
inequality
:
\n
\n
|
x
+
5
|
<</a>
1
0
\n
\n
x
+
5
<</a>
-
1
0
\n
\n
x
<</a>
-
1
5
\n
\n
There
fore
,
the
solution
of
the
inequality
|
x
+
5
|
<</a>
1
0
is
all
the
integers
less
than
-
1
5
,
which
can
be
written
as
:
\n
\n
-
1
5
<</a>
x
<</a>
-
1
0
\n
\n
So
there
are
1
0
integers
in
the
solution
of
the
inequality
.
</s>
Legend:
Shifted positions
|
Marginal positions
|
Unshifted positions
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