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Let’s check out your problem:
Is
(
2
,
2
)
(2,\,2)
(
2
,
2
)
a solution to this system of inequalities?
\newline
2
x
+
8
y
≤
20
2x + 8y \leq 20
2
x
+
8
y
≤
20
\newline
x
+
9
y
≤
20
x + 9y \leq 20
x
+
9
y
≤
20
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Math Problems
Algebra 2
Is (x, y) a solution to the system of inequalities?
Full solution
Q.
Is
(
2
,
2
)
(2,\,2)
(
2
,
2
)
a solution to this system of inequalities?
\newline
2
x
+
8
y
≤
20
2x + 8y \leq 20
2
x
+
8
y
≤
20
\newline
x
+
9
y
≤
20
x + 9y \leq 20
x
+
9
y
≤
20
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Check First Inequality:
Check if
(
2
,
2
)
(2, 2)
(
2
,
2
)
satisfies the first inequality
2
x
+
8
y
≤
20
2x + 8y \leq 20
2
x
+
8
y
≤
20
.
\newline
Substitute
x
=
2
x = 2
x
=
2
and
y
=
2
y = 2
y
=
2
.
\newline
2
(
2
)
+
8
(
2
)
≤
20
2(2) + 8(2) \leq 20
2
(
2
)
+
8
(
2
)
≤
20
\newline
4
+
16
≤
20
4 + 16 \leq 20
4
+
16
≤
20
\newline
20
≤
20
20 \leq 20
20
≤
20
, which is true.
Check Second Inequality:
Check if
(
2
,
2
)
(2, 2)
(
2
,
2
)
satisfies the second inequality
x
+
9
y
≤
20
x + 9y \leq 20
x
+
9
y
≤
20
.
\newline
Substitute
x
=
2
x = 2
x
=
2
and
y
=
2
y = 2
y
=
2
.
\newline
2
+
9
(
2
)
≤
20
2 + 9(2) \leq 20
2
+
9
(
2
)
≤
20
\newline
2
+
18
≤
20
2 + 18 \leq 20
2
+
18
≤
20
\newline
20
≤
20
20 \leq 20
20
≤
20
, which is true.
Solution Verification:
Since
(
2
,
2
)
(2, 2)
(
2
,
2
)
satisfies both inequalities, it is a solution to the system.
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\newline
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\newline
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\newline
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x
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?
\newline
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1
1
1
answer:
\newline
(A) Yes
\newline
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Is
(
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(
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\newline
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x
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\newline
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1
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\newline
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y
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4
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−
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?
\newline
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1
1
1
answer:
\newline
(A) Yes
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(B) No
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Is
(
−
3
,
2
)
(-3,2)
(
−
3
,
2
)
a solution of
\newline
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x
+
9
y
>
−
3
7x+9y > -3
7
x
+
9
y
>
−
3
?
\newline
Choose
1
1
1
answer:
\newline
(A) Yes
\newline
(B) No
Get tutor help
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Question
Is
(
−
4
,
−
4
)
(-4,-4)
(
−
4
,
−
4
)
a solution of
\newline
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>
−
6
x
−
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>
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1
answer:
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