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Let’s check out your problem:
Is
(
4
,
10
)
(4,\,10)
(
4
,
10
)
a solution to this system of inequalities?
\newline
y > x + 4
\newline
y
≥
2
x
+
1
y \geq 2x + 1
y
≥
2
x
+
1
\newline
Choices:
\newline
(A)yes
\newline
(B)no
View step-by-step help
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Math Problems
Algebra 2
Is (x, y) a solution to the system of inequalities?
Full solution
Q.
Is
(
4
,
10
)
(4,\,10)
(
4
,
10
)
a solution to this system of inequalities?
\newline
y
>
x
+
4
y > x + 4
y
>
x
+
4
\newline
y
≥
2
x
+
1
y \geq 2x + 1
y
≥
2
x
+
1
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Check Solution for
4
,
10
4, 10
4
,
10
:
Check if
4
,
10
4, 10
4
,
10
satisfies y > x + 4.
\newline
Substitute
x
=
4
x = 4
x
=
4
and
y
=
10
y = 10
y
=
10
into the inequality.
\newline
10 > 4 + 4
\newline
10 > 8
\newline
This is true.
Verify Inequality for
(
4
,
10
)
(4, 10)
(
4
,
10
)
:
Check if
(
4
,
10
)
(4, 10)
(
4
,
10
)
satisfies
y
≥
2
x
+
1
y \geq 2x + 1
y
≥
2
x
+
1
.
\newline
Substitute
x
=
4
x = 4
x
=
4
and
y
=
10
y = 10
y
=
10
into the inequality.
\newline
10
≥
2
×
4
+
1
10 \geq 2 \times 4 + 1
10
≥
2
×
4
+
1
\newline
10
≥
8
+
1
10 \geq 8 + 1
10
≥
8
+
1
\newline
10
≥
9
10 \geq 9
10
≥
9
\newline
This is also 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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\newline
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\newline
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\newline
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1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
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Question
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(
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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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Is
(
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,
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\newline
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x
+
9
y
>
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7
x
+
9
y
>
−
3
?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
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Posted 1 year ago
Question
Is
(
−
4
,
−
4
)
(-4,-4)
(
−
4
,
−
4
)
a solution of
\newline
y
>
−
6
x
−
1
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y
>
−
6
x
−
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\newline
Choose
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\newline
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\newline
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