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Let’s check out your problem:
Which of the following are solutions to the inequality below? Select all that apply.
\newline
6
≤
d
6 \leq d
6
≤
d
\newline
Multi-select Choices:
\newline
(A)
d
=
6
d = 6
d
=
6
\newline
(B)
d
=
2
d = 2
d
=
2
\newline
(C)
d
=
8
d = 8
d
=
8
\newline
(D)
d
=
7
d = 7
d
=
7
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Math Problems
Grade 8
Solutions to inequalities
Full solution
Q.
Which of the following are solutions to the inequality below? Select all that apply.
\newline
6
≤
d
6 \leq d
6
≤
d
\newline
Multi-select Choices:
\newline
(A)
d
=
6
d = 6
d
=
6
\newline
(B)
d
=
2
d = 2
d
=
2
\newline
(C)
d
=
8
d = 8
d
=
8
\newline
(D)
d
=
7
d = 7
d
=
7
Check
d
=
6
d = 6
d
=
6
:
Check if
d
=
6
d = 6
d
=
6
is a solution.
\newline
Plug in
d
=
6
d = 6
d
=
6
into the inequality
6
≤
d
6 \leq d
6
≤
d
.
\newline
6
≤
6
6 \leq 6
6
≤
6
\newline
Since
6
6
6
is equal to
6
6
6
, the inequality holds true.
Check
d
=
2
d = 2
d
=
2
:
Check if
d
=
2
d = 2
d
=
2
is a solution.
\newline
Plug in
d
=
2
d = 2
d
=
2
into the inequality
6
≤
d
6 \leq d
6
≤
d
.
\newline
6
≤
2
6 \leq 2
6
≤
2
\newline
Since
6
6
6
is not
less than or equal to
2
2
2
, the inequality does not hold.
Check
d
=
8
d = 8
d
=
8
:
Check if
d
=
8
d = 8
d
=
8
is a solution.
\newline
Plug in
d
=
8
d = 8
d
=
8
into the inequality
6
≤
d
6 \leq d
6
≤
d
.
\newline
6
≤
8
6 \leq 8
6
≤
8
\newline
Since
6
6
6
is less than
8
8
8
, the inequality holds true.
Check
d
=
7
d = 7
d
=
7
:
Check if
d
=
7
d = 7
d
=
7
is a solution.
\newline
Plug in
d
=
7
d = 7
d
=
7
into the inequality
6
≤
d
6 \leq d
6
≤
d
.
\newline
6
≤
7
6 \leq 7
6
≤
7
\newline
Since
6
6
6
is less than
7
7
7
, the inequality holds true.
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\newline
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\newline
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\newline
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