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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
y
≤
−
3
y \leq -3
y
≤
−
3
\newline
Multi-select Choices:
\newline
(A)
y
=
−
12
y = -12
y
=
−
12
\newline
(B)
y
=
−
5
y = -5
y
=
−
5
\newline
(C)
y
=
−
6
y = -6
y
=
−
6
\newline
(D)
y
=
−
8
y = -8
y
=
−
8
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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
y
≤
−
3
y \leq -3
y
≤
−
3
\newline
Multi-select Choices:
\newline
(A)
y
=
−
12
y = -12
y
=
−
12
\newline
(B)
y
=
−
5
y = -5
y
=
−
5
\newline
(C)
y
=
−
6
y = -6
y
=
−
6
\newline
(D)
y
=
−
8
y = -8
y
=
−
8
Understand the inequality:
Understand the inequality
y
≤
−
3
y \leq -3
y
≤
−
3
. This inequality means that
y
y
y
can be any number
less than or equal to
−
3
-3
−
3
.
Check
y
=
−
12
y = -12
y
=
−
12
:
Check if
y
=
−
12
y = -12
y
=
−
12
is a solution.
\newline
Since
−
12
-12
−
12
is less than
−
3
-3
−
3
,
y
=
−
12
y = -12
y
=
−
12
satisfies the inequality
y
≤
−
3
y \leq -3
y
≤
−
3
.
Check
y
=
−
5
y = -5
y
=
−
5
:
Check if
y
=
−
5
y = -5
y
=
−
5
is a solution.
\newline
Since
−
5
-5
−
5
is greater than
−
12
-12
−
12
but still less than
−
3
-3
−
3
,
y
=
−
5
y = -5
y
=
−
5
also satisfies the inequality
y
≤
−
3
y \leq -3
y
≤
−
3
.
Check
y
=
−
6
y = -6
y
=
−
6
:
Check if
y
=
−
6
y = -6
y
=
−
6
is a solution.
\newline
Since
−
6
-6
−
6
is greater than
−
12
-12
−
12
but still less than
−
3
-3
−
3
,
y
=
−
6
y = -6
y
=
−
6
also satisfies the inequality
y
≤
−
3
y \leq -3
y
≤
−
3
.
Check
y
=
−
8
y = -8
y
=
−
8
:
Check if
y
=
−
8
y = -8
y
=
−
8
is a solution.
\newline
Since
−
8
-8
−
8
is greater than
−
12
-12
−
12
but still less than
−
3
-3
−
3
,
y
=
−
8
y = -8
y
=
−
8
also satisfies the inequality
y
≤
−
3
y \leq -3
y
≤
−
3
.
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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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\newline
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\newline
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