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

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Question

Is the point $\left(25,20\right)$ included in the inequality $y\geq- 6 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $20\geq-6\cdot25^{5}$ $20\geq-6\cdot9765625$ $20\geq-58593750$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(38,12\right)$ included in the inequality $y\geq27 x^{6}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $12\geq27\cdot38^{6}$ $12\geq27\cdot3010936384$ $12\geq81295282368$

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

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Question

Is the point $\left(34,-28\right)$ included in the inequality $y\geq- 26 x^{3}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-28\geq-26\cdot34^{3}$ $-28\geq-26\cdot39304$ $-28\geq-1021904$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(49,-5\right)$ included in the inequality $y\geq- 19 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-5\geq-19\cdot49^{5}$ $-5\geq-19\cdot282475249$ $-5\geq-5367029731$ Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(35,24\right)$ included in the inequality $y\geq- 32 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $24\geq-32\cdot35^{5}$ $24\geq-32\cdot52521875$ $24\geq-1680700000$

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

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Question

Is the point $\left(45,38\right)$ included in the inequality $y\geq9 x^{2}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $38\geq9\cdot45^{2}$ $38\geq9\cdot2025$ $38\geq18225$

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

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Question

Is the point $\left(20,-31\right)$ included in the inequality $y\geq31 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-31\geq31\cdot20^{4}$ $-31\geq31\cdot160000$ $-31\geq4960000$

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

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Question

Is the point $\left(47,-18\right)$ included in the inequality $y\geq- 7 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-18\geq-7\cdot47^{5}$ $-18\geq-7\cdot229345007$ $-18\geq-1605415049$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(22,-6\right)$ included in the inequality $y\geq- 40 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-6\geq-40\cdot22^{5}$ $-6\geq-40\cdot5153632$ $-6\geq-206145280$ Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(23,-42\right)$ included in the inequality $y\geq- 25 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-42\geq-25\cdot23^{5}$ $-42\geq-25\cdot6436343$ $-42\geq-160908575$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(20,-32\right)$ included in the inequality $y\geq22 x^{6}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-32\geq22\cdot20^{6}$ $-32\geq22\cdot64000000$ $-32\geq1408000000$

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

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Question

Is the point $\left(16,23\right)$ included in the inequality $y\geq6 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $23\geq6\cdot16^{5}$ $23\geq6\cdot1048576$ $23\geq6291456$

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

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Question

Is the point $\left(35,-32\right)$ included in the inequality $y\geq- 32 x^{2}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-32\geq-32\cdot35^{2}$ $-32\geq-32\cdot1225$ $-32\geq-39200$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(31,-39\right)$ included in the inequality $y\geq- 17 x^{3}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-39\geq-17\cdot31^{3}$ $-39\geq-17\cdot29791$ $-39\geq-506447$ Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(11,-4\right)$ included in the inequality $y\geq- 40 x^{6}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-4\geq-40\cdot11^{6}$ $-4\geq-40\cdot1771561$ $-4\geq-70862440$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(27,-21\right)$ included in the inequality $y\geq- 15 x^{2}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-21\geq-15\cdot27^{2}$ $-21\geq-15\cdot729$ $-21\geq-10935$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(39,-9\right)$ included in the inequality $y\geq13 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-9\geq13\cdot39^{4}$ $-9\geq13\cdot2313441$ $-9\geq30074733$

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

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Question

Is the point $\left(32,-39\right)$ included in the inequality $y\geq- 25 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $-39\geq-25\cdot32^{4}$ $-39\geq-25\cdot1048576$ $-39\geq-26214400$

Since is greater thanthe point is included in the inequality.

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Question

Is the point $\left(33,7\right)$ included in the inequality $y\geq31 x^{5}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $7\geq31\cdot33^{5}$ $7\geq31\cdot39135393$ $7\geq1213197183$ Since is not greater than or equal to the point is not included in the inequality.

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Question

Is the point $\left(4,25\right)$ included in the inequality $y\geq- 28 x^{4}$ ?

Answer

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ value. $25\geq-28\cdot4^{4}$ $25\geq-28\cdot256$ $25\geq-7168$

Since is greater thanthe point is included in the inequality.

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