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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 < z
\newline
Multi-select Choices:
\newline
(A)
z
=
−
5
z = -5
z
=
−
5
\newline
(B)
z
=
−
10
z = -10
z
=
−
10
\newline
(C)
z
=
−
9
z = -9
z
=
−
9
\newline
(D)
z
=
−
6
z = -6
z
=
−
6
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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
<
z
-6 < z
−
6
<
z
\newline
Multi-select Choices:
\newline
(A)
z
=
−
5
z = -5
z
=
−
5
\newline
(B)
z
=
−
10
z = -10
z
=
−
10
\newline
(C)
z
=
−
9
z = -9
z
=
−
9
\newline
(D)
z
=
−
6
z = -6
z
=
−
6
Understand the inequality:
Understand the inequality.
\newline
The inequality –6 < z means that
z
z
z
must be greater than
–
6
–6
–6
.
Test option (A):
Test each option against the inequality.
\newline
Option (A) tests if
z
=
−
5
z = -5
z
=
−
5
is a solution.
\newline
−
5
-5
−
5
is greater than
−
6
-6
−
6
, so -5 < z is true.
Test option (B):
Test option (B).
\newline
Option (B) tests if
z
=
−
10
z = -10
z
=
−
10
is a solution.
\newline
−
10
-10
−
10
is not greater than
−
6
-6
−
6
, so -6 < z is false when
z
=
−
10
z = -10
z
=
−
10
.
Test option (C):
Test option (C).
\newline
Option (C) tests if
z
=
−
9
z = -9
z
=
−
9
is a solution.
\newline
−
9
-9
−
9
is not greater than
−
6
-6
−
6
, so -6 < z is false when
z
=
−
9
z = -9
z
=
−
9
.
Test option (D):
Test option (D).
\newline
Option (D) tests if
z
=
−
6
z = -6
z
=
−
6
is a solution.
\newline
−
6
-6
−
6
is not greater than
−
6
-6
−
6
, it is equal to
−
6
-6
−
6
, so -6 < z is false when
z
=
−
6
z = -6
z
=
−
6
.
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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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