Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12 - Common Core: High School - Algebra

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Question

Is the point $\left( 1 , -965 \right)$ included in the inequality $y \geq - 33 x^{6}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-965 \geq -33 \cdot 1 ^{6}$

$-965 \geq -33 \cdot 1$

$-965 \geq -33$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 22 , 720 \right)$ included in the inequality $y \geq 10 x^{9}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$720 \geq 10 \cdot 22 ^{9}$

$720 \geq 10 \cdot 1207269217792$

$720 \geq 12072692177920$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 42 , -318 \right)$ included in the inequality $y \geq 30 x^{4}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-318 \geq 30 \cdot 42 ^{ 4 }$

$-318 \geq 30 \cdot 3111696$

$-318 \geq 93350880$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 9 , -705 \right)$ included in the inequality $y \geq 17 x^{11}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-705 \geq 17 \cdot 9 ^{ 11 }$

$-705 \geq 17 \cdot 31381059609$

$-705 \geq 533478013353$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 37 , -448 \right)$ included in the inequality $y \geq 3 x^{7}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-448 \geq 3 \cdot 37 ^{ 7 }$

$-448 \geq 3 \cdot 94931877133$

$-448 \geq 284795631399$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 10 , 297 \right)$ included in the inequality $y \geq 7 x^{11}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and $\uptext{y}$ value.

$297 \geq 7 \cdot 10 ^{ 11 }$

$297 \geq 7 \cdot 100000000000$

$297 \geq 700000000000$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 3 , 731 \right)$ included in the inequality $y \geq 12 x^{6}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x$ and values.

$731 \geq 12 \cdot 3 ^{ 6 }$

$731 \geq 12 \cdot 729$

$731 \geq 8748$

Since 731 is not greater than the point is not included in the inequality.

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Question

Is the point $\left( 9 , 405 \right)$ included in the inequality $y \geq - 33 x^{11}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$405 \geq -33 \cdot 9 ^{ 11 }$

$405 \geq -33 \cdot 31381059609$

$405 \geq -1035574967097$

Since is greater than the point is included in the inequality.

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Question

Is the point $\left( 37 , -112 \right)$ included in the inequality $y \geq - 3 x^{3}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-112 \geq -3 \cdot 37 ^{ 3 }$

$-112 \geq -3 \cdot 50653$

$-112 \geq -151959$

Since is greater than the point is included in the inequality.

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Question

Is the point $\left( 6 , -393 \right)$ included in the inequality $y \geq 26 x^{11}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-393 \geq 26 \cdot 6 ^{ 11 }$

$-393 \geq 26 \cdot 362797056$

$-393 \geq 9432723456$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 14 , 143 \right)$ included in the inequality $y \geq 32 x^{3}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$143 \geq 32 \cdot 14 ^{ 3 }$

$143 \geq 32 \cdot 2744$

$143 \geq 87808$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left( 19 , -191 \right)$ included in the inequality $y \geq - 21 x^{5}?$

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ and values.

$-191 \geq -21 \cdot 19 ^{ 5 }$

$-191 \geq -21 \cdot 2476099$

$-191 \geq -51998079$

Since is greater than the point is included in the inequality.

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Question

Is the point $\left(8,10\right)$ included in the inequality $y\geq11 x^{3}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $10\geq11\cdot8^{3}$ $10\geq11\cdot512$ $10\geq5632$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left(7,16\right)$ included in the inequality $y\geq- 31 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $16\geq-31\cdot7^{4}$ $16\geq-31\cdot2401$ $16\geq-74431$ Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(17,39\right)$ included in the inequality $y\geq35 x^{2}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $39\geq35\cdot17^{2}$ $39\geq35\cdot289$ $39\geq10115$

Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left(15,-43\right)$ included in the inequality $y\geq- 19 x^{2}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-43\geq-19\cdot15^{2}$ $-43\geq-19\cdot225$ $-43\geq-4275$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(2,-11\right)$ included in the inequality $y\geq- 15 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-11\geq-15\cdot2^{4}$ $-11\geq-15\cdot16$ $-11\geq-240$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(43,10\right)$ included in the inequality $y\geq- 39 x^{3}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $10\geq-39\cdot43^{3}$ $10\geq-39\cdot79507$ $10\geq-3100773$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(49,16\right)$ included in the inequality $y\geq- 24 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $16\geq-24\cdot49^{4}$ $16\geq-24\cdot5764801$ $16\geq-138355224$ Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(33,15\right)$ included in the inequality $y\geq- 39 x^{6}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $15\geq-39\cdot33^{6}$ $15\geq-39\cdot1291467969$ $15\geq-50367250791$

Since is greater thanthe point is included in the inequality.

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