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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
≤
y
1 \le y
1
≤
y
\newline
Multi-select Choices:
\newline
(A)
y
=
9
y = 9
y
=
9
\newline
(B)
y
=
4
y = 4
y
=
4
\newline
(C)
y
=
12
y = 12
y
=
12
\newline
(D)
y
=
1
y = 1
y
=
1
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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
≤
y
1 \le y
1
≤
y
\newline
Multi-select Choices:
\newline
(A)
y
=
9
y = 9
y
=
9
\newline
(B)
y
=
4
y = 4
y
=
4
\newline
(C)
y
=
12
y = 12
y
=
12
\newline
(D)
y
=
1
y = 1
y
=
1
Check
y
=
9
y = 9
y
=
9
:
Step
1
1
1
: Check if
y
=
9
y = 9
y
=
9
satisfies the inequality
1
≤
y
1 \leq y
1
≤
y
.
\newline
Calculation:
1
≤
9
1 \leq 9
1
≤
9
is true.
Check
y
=
4
y = 4
y
=
4
:
Step
2
2
2
: Check if
y
=
4
y = 4
y
=
4
satisfies the inequality
1
≤
y
1 \leq y
1
≤
y
.
\newline
Calculation:
1
≤
4
1 \leq 4
1
≤
4
is true.
Check
y
=
12
y = 12
y
=
12
:
Step
3
3
3
: Check if
y
=
12
y = 12
y
=
12
satisfies the inequality
1
≤
y
1 \leq y
1
≤
y
.
\newline
Calculation:
1
≤
12
1 \leq 12
1
≤
12
is true.
Check
y
=
1
y = 1
y
=
1
:
Step
4
4
4
: Check if
y
=
1
y = 1
y
=
1
satisfies the inequality
1
≤
y
1 \leq y
1
≤
y
.
\newline
Calculation:
1
≤
1
1 \leq 1
1
≤
1
is true.
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\newline
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\newline
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\newline
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\newline
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