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Let’s check out your problem:
Is
n
=
−
2
n = -2
n
=
−
2
a solution to the inequality below?
\newline
−
4
≤
n
-4 \leq n
−
4
≤
n
\newline
Choices:
\newline
(A)yes
\newline
(B)no
View step-by-step help
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Math Problems
Algebra 1
Identify solutions to inequalities
Full solution
Q.
Is
n
=
−
2
n = -2
n
=
−
2
a solution to the inequality below?
\newline
−
4
≤
n
-4 \leq n
−
4
≤
n
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Understand the inequality:
Understand the inequality The inequality
−
4
≤
n
-4 \leq n
−
4
≤
n
means that
n
n
n
is greater than or equal to
−
4
-4
−
4
.
Substitute with
−
2
-2
−
2
:
Substitute
n
n
n
with
–
2
–2
–2
Substitute
n
n
n
with
–
2
–2
–2
in the inequality to check if the inequality holds true:
–
4
≤
–
2
–4 \leq –2
–4
≤
–2
.
Compare values:
Compare the values
\newline
Since
−
4
-4
−
4
is
less than or equal to
−
2
-2
−
2
, the inequality
−
4
≤
−
2
-4 \leq -2
−
4
≤
−
2
is true.
Conclusion:
Conclusion
\newline
Because the inequality holds true when
n
n
n
is substituted with
–
2
–2
–2
,
n
=
–
2
n = –2
n
=
–2
is indeed a solution to the inequality
–
4
≤
n
–4 \leq n
–4
≤
n
.
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