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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
1
≥
b
1 \geq b
1
≥
b
\newline
Multi-select Choices:
\newline
(A)
b
=
4
b = 4
b
=
4
\newline
(B)
b
=
1
b = 1
b
=
1
\newline
(C)
b
=
8
b = 8
b
=
8
\newline
(D)
b
=
6
b = 6
b
=
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
1
≥
b
1 \geq b
1
≥
b
\newline
Multi-select Choices:
\newline
(A)
b
=
4
b = 4
b
=
4
\newline
(B)
b
=
1
b = 1
b
=
1
\newline
(C)
b
=
8
b = 8
b
=
8
\newline
(D)
b
=
6
b = 6
b
=
6
Check
b
=
4
b = 4
b
=
4
:
Step
1
1
1
: Check if
b
=
4
b = 4
b
=
4
is a solution.
\newline
Substitute
b
=
4
b = 4
b
=
4
into the inequality
1
≥
b
1 \geq b
1
≥
b
.
\newline
1
≥
4
1 \geq 4
1
≥
4
\newline
This statement is false, so
b
=
4
b = 4
b
=
4
is not a solution.
Check
b
=
1
b = 1
b
=
1
:
Step
2
2
2
: Check if
b
=
1
b = 1
b
=
1
is a solution.
\newline
Substitute
b
=
1
b = 1
b
=
1
into the inequality
1
≥
b
1 \geq b
1
≥
b
.
\newline
1
≥
1
1 \geq 1
1
≥
1
\newline
This statement is true, so
b
=
1
b = 1
b
=
1
is a solution.
Check
b
=
8
b = 8
b
=
8
:
Step
3
3
3
: Check if
b
=
8
b = 8
b
=
8
is a solution.
\newline
Substitute
b
=
8
b = 8
b
=
8
into the inequality
1
≥
b
1 \geq b
1
≥
b
.
\newline
1
≥
8
1 \geq 8
1
≥
8
\newline
This statement is false, so
b
=
8
b = 8
b
=
8
is not a solution.
Check
b
=
6
b = 6
b
=
6
:
Step
4
4
4
: Check if
b
=
6
b = 6
b
=
6
is a solution.
\newline
Substitute
b
=
6
b = 6
b
=
6
into the inequality
1
≥
b
1 \geq b
1
≥
b
.
\newline
1
≥
6
1 \geq 6
1
≥
6
\newline
This statement is false, so
b
=
6
b = 6
b
=
6
is not a solution.
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\newline
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\newline
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\newline
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