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1
Grade 9
/ Inequalities
7 exercises corrected
a
1.
Unclassified
exercises
E.2088
We
note
x
the
number
of
students
in
a
class
who
had
the
average
on
the
last
French
test.
Each
sentence
below
describes
a
different
situation.
For
each
of
them,
write
an
inequality
verified
by
the
number
x
.
1
At
least
10
people
scored
higher
than
10
.
2
At
least
13
people
got
the
average.
3
No
more
than
9
people
had
the
average.
4
No
more
than
15
people
scored
above
8
.
E.6434
Consider
the
graduated
line
shown
below
:
We
denote
a
and
b
the
respective
abscissas
of
the
points
A
and
B
.
1
Compare
the
abscissas
of
points
A
and
B
.
2
Consider
the
points
A
and
B
with
respective
abscissas
:
a
+3
;
b
+3
Compare
the
abscissas
of
the
points
A
and
B
.
3
Consider
the
points
A
and
B
of
abscissa
:
a
−
2
;
b
−
2
Compare
the
abscissas
of
points
A
and
B
.
E.5662
Consider
two
numbers
a
and
b
such
that
a
<
b
.
For
each
question,
complete
the
blanks
to
compare
the
pairs
of
numbers
shown
:
a
a
+2
:::
b
+2
b
a
−
4
:::
b
−
4
c
a
+
1
2
:::
b
+
1
2
d
a
−
ı
:::
b
−
ı
E.5664
Let
x
be
an
indeterminate
number.
a
Si
x
+2
>
5
then
x
>
:::
b
Si
x
−
5
>
0
then
x
>
:::
c
Si
x
+4
<
2
then
x
<
:::
d
Si
x
−
2
<
6
then
x
<
:::
E.6435
On
a
graded
line,
consider
two
points
A
and
B
whose
abscissas
a
and
b
are
noted.
1
Consider
the
scaled
line
below
:
a
Compare
the
abscissas
of
points
A
and
B
.
b
Place
the
points
A
and
B
with
abscissas
2
×
a
and
2
×
b
,
respectively,
on
the
graduated
line
below.
c
Compare
the
abscissas
of
points
A
and
B
.
2
Consider
the
scaled
line
below
:
a
Compare
the
abscissas
of
points
A
and
B
.
b
Place
the
points
A
and
B
with
abscissas
2
×
a
and
2
×
b
,
respectively,
on
the
graduated
line
below.
c
Compare
the
abscissas
of
points
A
and
B
.
3
Consider
the
scaled
line
below
:
a
Compare
the
abscissas
of
points
A
and
B
.
b
Place
the
points
A
and
B
with
abscissas
−
a
and
−
b
,
respectively,
on
the
graduated
line
below.
c
Compare
the
abscissas
of
points
A
and
B
.
4
Consider
the
scaled
line
below
:
a
Compare
the
abscissas
of
points
A
and
B
.
b
Place
the
points
A
and
B
with
abscissas
−
a
and
−
b
,
respectively,
on
the
graduated
line
below.
c
Compare
the
abscissas
of
points
A
and
B
.
E.5663
Consider
a
and
b
two
numbers
such
that
a
<
b
.
For
each
question,
complete
the
blanks
to
compare
the
two
proposed
numbers
:
a
2
a
:
:
:
2
b
b
−
3
a
:
:
:
−
3
b
c
1
2
a
:
:
:
1
2
b
d
−
3
2
a
:
:
:
−
3
2
b
E.2066
Consider
a
number
x
indeterminate,
but
verifying
the
following
inequality:
x
>
4
.
For
each
question,
three
statements
are
proposed,
only
one
of
which
is
correct.
Specify
which
ones
:
a
b
c
1
x
+2
<
6
x
+2
>
6
x
+2
<
4
2
2
x
>
2
2
x
<
8
2
x
>
8
3
−
0.5
x
<
−
2
−
0.5
x
>
−
2
−
0.5
x
>
2
4
2
x
+1
<
9
2
x
+1
>
9
2
x
+1
<
1.5
5
1
−
x
<
3
1
−
x
>
−
3
1
−
x
<
−
3
https://chingmath.fr
chapExoCorrec/2088
sacados/2088
chapExoCorrec/6434
sacados/6434
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
A
B
chapExoCorrec/5662
sacados/5662
chapExoCorrec/5664
sacados/5664
chapExoCorrec/6435
sacados/6435
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
A
B
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
A
B
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
A
B
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
A
B
-
8
-
7
-
6
-
5
-
4
-
3
-
2
-
1
0
1
2
3
4
5
6
7
8
chapExoCorrec/5663
sacados/5663
chapExoCorrec/2066
sacados/2066
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