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Let’s check out your problem:
Which of the following is a solution to the inequality below?
\newline
−
7
≥
c
-7 \geq c
−
7
≥
c
\newline
Choices:
\newline
(A)
c
=
−
5
c = -5
c
=
−
5
\newline
(B)
c
=
−
4
c = -4
c
=
−
4
\newline
(C)
c
=
−
12
c = -12
c
=
−
12
\newline
(D)
c
=
−
6
c = -6
c
=
−
6
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Math Problems
Grade 8
Solutions to inequalities
Full solution
Q.
Which of the following is a solution to the inequality below?
\newline
−
7
≥
c
-7 \geq c
−
7
≥
c
\newline
Choices:
\newline
(A)
c
=
−
5
c = -5
c
=
−
5
\newline
(B)
c
=
−
4
c = -4
c
=
−
4
\newline
(C)
c
=
−
12
c = -12
c
=
−
12
\newline
(D)
c
=
−
6
c = -6
c
=
−
6
Check
c
=
−
5
c = -5
c
=
−
5
:
Step
1
1
1
: Check if
c
=
−
5
c = -5
c
=
−
5
satisfies the inequality.
−
7
≥
−
5
-7 \geq -5
−
7
≥
−
5
Since
−
7
-7
−
7
is not greater than
−
5
-5
−
5
, this is false.
Check
c
=
−
4
c = -4
c
=
−
4
:
Step
2
2
2
: Check if
c
=
−
4
c = -4
c
=
−
4
satisfies the inequality.
−
7
≥
−
4
-7 \geq -4
−
7
≥
−
4
Since
−
7
-7
−
7
is not greater than
−
4
-4
−
4
, this is false.
Check
c
=
−
12
c = -12
c
=
−
12
:
Step
3
3
3
: Check if
c
=
−
12
c = -12
c
=
−
12
satisfies the inequality.
−
7
≥
−
12
-7 \geq -12
−
7
≥
−
12
Since
−
7
-7
−
7
is greater than
−
12
-12
−
12
, this is true.
Check
c
=
−
6
c = -6
c
=
−
6
:
Step
4
4
4
: Check if
c
=
−
6
c = -6
c
=
−
6
satisfies the inequality.
−
7
≥
−
6
-7 \geq -6
−
7
≥
−
6
Since
−
7
-7
−
7
is not greater than
−
6
-6
−
6
, this is false.
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\newline
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\newline
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\newline
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\newline
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\newline
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Solve for
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\newline
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\newline
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>
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\newline
−
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\newline
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