Is (10, 10) a solution to the inequality y ≤ 9x + 6?

yes or no

51 answers

To determine if (10, 10) is a solution to the inequality \( y \leq 9x + 6 \), we can substitute \( x = 10 \) and \( y = 10 \) into the inequality and check if it holds true.

First, calculate \( 9x + 6 \) when \( x = 10 \):

\[ 9(10) + 6 = 90 + 6 = 96 \]

Next, check if \( 10 \leq 96 \):

\[ 10 \leq 96 \quad \text{(True)} \]

Since the statement is true, we conclude that (10, 10) is indeed a solution to the inequality.

So, the answer is yes.

Does(1, 2)maketheinequality3x + 6y ≥ 15true?

yes or no

To determine if (1, 2) makes the inequality \( 3x + 6y \geq 15 \) true, substitute \( x = 1 \) and \( y = 2 \) into the inequality.

Calculating \( 3x + 6y \):

\[ 3(1) + 6(2) = 3 + 12 = 15 \]

Now, check if \( 15 \geq 15 \):

\[ 15 \geq 15 \quad \text{(True)} \]

Since the statement is true, we conclude that (1, 2) makes the inequality true.

So, the answer is yes.

Doesthepoint(2, 10)satisfytheinequalityy ≤ 2x + 4?

yes or no

To determine if the point (2, 10) satisfies the inequality \( y \leq 2x + 4 \), we will substitute \( x = 2 \) and \( y = 10 \) into the inequality.

First, calculate \( 2x + 4 \) for \( x = 2 \):

\[ 2(2) + 4 = 4 + 4 = 8 \]

Next, check if \( 10 \leq 8 \):

\[ 10 \leq 8 \quad \text{(False)} \]

Since this statement is false, the point (2, 10) does not satisfy the inequality.

So, the answer is no.

Is(2, 2)asolutiontotheinequality5x + 3y < 18?

yes or no

To determine if (2, 2) is a solution to the inequality \( 5x + 3y < 18 \), we will substitute \( x = 2 \) and \( y = 2 \) into the inequality.

First, calculate \( 5x + 3y \):

\[ 5(2) + 3(2) = 10 + 6 = 16 \]

Now, check if \( 16 < 18 \):

\[ 16 < 18 \quad \text{(True)} \]

Since the statement is true, we conclude that (2, 2) is indeed a solution to the inequality.

So, the answer is yes.

Does(9, 2)maketheinequalityy < 2x + 7true?

yes or no

To determine if the point (9, 2) makes the inequality \( y < 2x + 7 \) true, we substitute \( x = 9 \) and \( y = 2 \) into the inequality.

First, calculate \( 2x + 7 \):

\[ 2(9) + 7 = 18 + 7 = 25 \]

Now, check if \( 2 < 25 \):

\[ 2 < 25 \quad \text{(True)} \]

Since this statement is true, we conclude that (9, 2) does make the inequality true.

So, the answer is yes.

Doesthepoint(1, 3)satisfytheinequalityx + 6y > 20?

yes or no

To determine if the point (1, 3) satisfies the inequality \( x + 6y > 20 \), we will substitute \( x = 1 \) and \( y = 3 \) into the inequality.

First, calculate \( x + 6y \):

\[ 1 + 6(3) = 1 + 18 = 19 \]

Now, check if \( 19 > 20 \):

\[ 19 > 20 \quad \text{(False)} \]

Since this statement is false, the point (1, 3) does not satisfy the inequality.

So, the answer is no.

Is(1, 4)asolutiontotheinequalityy ≥ 3x + 1?

yes orno

To determine if the point (1, 4) is a solution to the inequality \( y \geq 3x + 1 \), we will substitute \( x = 1 \) and \( y = 4 \) into the inequality.

First, calculate \( 3x + 1 \):

\[ 3(1) + 1 = 3 + 1 = 4 \]

Now, check if \( 4 \geq 4 \):

\[ 4 \geq 4 \quad \text{(True)} \]

Since this statement is true, we conclude that (1, 4) is indeed a solution to the inequality.

So, the answer is yes.

Does(2, 4)maketheinequality3x + 3y > 20true?

yesor no

To determine if the point (2, 4) makes the inequality \( 3x + 3y > 20 \) true, we will substitute \( x = 2 \) and \( y = 4 \) into the inequality.

First, calculate \( 3x + 3y \):

\[ 3(2) + 3(4) = 6 + 12 = 18 \]

Now, check if \( 18 > 20 \):

\[ 18 > 20 \quad \text{(False)} \]

Since this statement is false, the point (2, 4) does not make the inequality true.

So, the answer is no.

Does(1, 5)maketheinequalityy ≥ 2x + 3true?

yes or no

To determine if the point (1, 5) makes the inequality \( y \geq 2x + 3 \) true, we will substitute \( x = 1 \) and \( y = 5 \) into the inequality.

First, calculate \( 2x + 3 \):

\[ 2(1) + 3 = 2 + 3 = 5 \]

Now, check if \( 5 \geq 5 \):

\[ 5 \geq 5 \quad \text{(True)} \]

Since this statement is true, we conclude that (1, 5) does make the inequality true.

So, the answer is yes.

Is(7, 8)asolutiontotheinequality11x − 11y ≥ 4?

yes or no

To determine if the point (7, 8) is a solution to the inequality \( 11x - 11y \geq 4 \), we will substitute \( x = 7 \) and \( y = 8 \) into the inequality.

First, calculate \( 11x - 11y \):

\[ 11(7) - 11(8) = 77 - 88 = -11 \]

Now, check if \( -11 \geq 4 \):

\[ -11 \geq 4 \quad \text{(False)} \]

Since this statement is false, we conclude that (7, 8) is not a solution to the inequality.

So, the answer is no.

Doesthepoint(3, 10)satisfytheinequality9x + 11y > 8?

To determine if the point (3, 10) satisfies the inequality \( 9x + 11y > 8 \), we will substitute \( x = 3 \) and \( y = 10 \) into the inequality.

First, calculate \( 9x + 11y \):

\[ 9(3) + 11(10) = 27 + 110 = 137 \]

Now, check if \( 137 > 8 \):

\[ 137 > 8 \quad \text{(True)} \]

Since this statement is true, we conclude that the point (3, 10) does satisfy the inequality.

So, the answer is yes.

Does(–9, 7)maketheinequalityx > –9true?

To determine if the point \((-9, 7)\) satisfies the inequality \(x > -9\), we only need to consider the \(x\)-coordinate.

The \(x\)-coordinate of the point is \(-9\). Now we check the inequality:

\[ -9 > -9 \quad \text{(False)} \]

Since this statement is false, the point \((-9, 7)\) does not satisfy the inequality.

So, the answer is no.

Doesthepoint(1, 9)satisfytheinequalityy > x + 8?

To determine if the point (1, 9) satisfies the inequality \( y > x + 8 \), we will substitute \( x = 1 \) and \( y = 9 \) into the inequality.

First, calculate \( x + 8 \):

\[ 1 + 8 = 9 \]

Now, check if \( 9 > 9 \):

\[ 9 > 9 \quad \text{(False)} \]

Since this statement is false, the point (1, 9) does not satisfy the inequality.

So, the answer is no.

Is(–4, –4)asolutiontotheinequality5x − 6y < 4?

To determine if the point \((-4, -4)\) is a solution to the inequality \(5x - 6y < 4\), we will substitute \(x = -4\) and \(y = -4\) into the inequality.

First, calculate \(5x - 6y\):

\[ 5(-4) - 6(-4) = -20 + 24 = 4 \]

Now, check if \(4 < 4\):

\[ 4 < 4 \quad \text{(False)} \]

Since this statement is false, we conclude that \((-4, -4)\) is not a solution to the inequality.

So, the answer is no.

Does(1, 7)maketheinequality4x + y ≥ 15true?

To determine if the point (1, 7) makes the inequality \( 4x + y \geq 15 \) true, we will substitute \( x = 1 \) and \( y = 7 \) into the inequality.

First, calculate \( 4x + y \):

\[ 4(1) + 7 = 4 + 7 = 11 \]

Now, check if \( 11 \geq 15 \):

\[ 11 \geq 15 \quad \text{(False)} \]

Since this statement is false, we conclude that (1, 7) does not make the inequality true.

So, the answer is no.

Is(–5, –1)asolutiontotheinequalityx < –5?

To determine if the point \((-5, -1)\) is a solution to the inequality \(x < -5\), we only need to consider the \(x\)-coordinate.

The \(x\)-coordinate of the point is \(-5\). Now we check the inequality:

\[ -5 < -5 \quad \text{(False)} \]

Since this statement is false, the point \((-5, -1)\) does not satisfy the inequality.

So, the answer is no.

Doesthepoint(4, 10)satisfytheinequalityy < 2x + 2?

To determine if the point (4, 10) satisfies the inequality \( y < 2x + 2 \), we will substitute \( x = 4 \) and \( y = 10 \) into the inequality.

First, calculate \( 2x + 2 \):

\[ 2(4) + 2 = 8 + 2 = 10 \]

Now, check if \( 10 < 10 \):

\[ 10 < 10 \quad \text{(False)} \]

Since this statement is false, the point (4, 10) does not satisfy the inequality.

So, the answer is no.

Does(5, –10)maketheinequality
y

–1
5
x
− 9
true?

To determine if the point \( (5, -10) \) satisfies the inequality

\[ y \geq -\frac{1}{5}x - 9, \]

we will substitute \( x = 5 \) and \( y = -10 \) into the inequality.

First, calculate \( -\frac{1}{5}x - 9 \):

\[ -\frac{1}{5}(5) - 9 = -1 - 9 = -10. \]

Now, check if

\[ -10 \geq -10. \]

This statement is true.

Since the inequality holds true, we conclude that the point \( (5, -10) \) does satisfy the inequality.

So, the answer is yes.

Is(–4, 1)asolutiontotheinequalityy ≤ –2?

To determine if the point \((-4, 1)\) is a solution to the inequality \(y \leq -2\), we need to check the \(y\)-coordinate of the point.

The \(y\)-coordinate of the point is \(1\). Now, we check the inequality:

\[ 1 \leq -2 \quad \text{(False)} \]

Since this statement is false, we conclude that the point \((-4, 1)\) is not a solution to the inequality.

So, the answer is no.

Does(8, –2)maketheinequalityy ≤ –2true?

To determine if the point \( (8, -2) \) satisfies the inequality \( y \leq -2 \), we will check the \( y \)-coordinate of the point.

The \( y \)-coordinate is \(-2\). Now, we check the inequality:

\[ -2 \leq -2 \quad \text{(True)} \]

Since this statement is true, we conclude that the point \( (8, -2) \) does satisfy the inequality.

So, the answer is yes.

Is(4, –1)asolutiontotheinequalityx − y ≤ 5?

To determine if the point \( (4, -1) \) is a solution to the inequality \( x - y \leq 5 \), we will substitute \( x = 4 \) and \( y = -1 \) into the inequality.

First, calculate \( x - y \):

\[ 4 - (-1) = 4 + 1 = 5. \]

Now, check if

\[ 5 \leq 5. \]

This statement is true.

Since the inequality holds true, we conclude that the point \( (4, -1) \) is a solution to the inequality.

So, the answer is yes.

Doesthepoint(–3, –7)satisfytheinequalityy > 5x − 4?

To determine if the point \((-3, -7)\) satisfies the inequality \(y > 5x - 4\), we will substitute \(x = -3\) and \(y = -7\) into the inequality.

First, calculate \(5x - 4\):

\[ 5(-3) - 4 = -15 - 4 = -19. \]

Now, check if

\[ -7 > -19. \]

This statement is true.

Since the inequality holds true, we conclude that the point \((-3, -7)\) does satisfy the inequality.

So, the answer is yes.

Does(6, –2)maketheinequality6x + 5y > –5true?

To determine if the point \( (6, -2) \) satisfies the inequality \( 6x + 5y > -5 \), we will substitute \( x = 6 \) and \( y = -2 \) into the inequality.

First, calculate \( 6x + 5y \):

\[ 6(6) + 5(-2) = 36 - 10 = 26. \]

Now, check if

\[ 26 > -5. \]

This statement is true.

Since the inequality holds true, we conclude that the point \( (6, -2) \) does satisfy the inequality.

So, the answer is yes.

Doesthepoint(–9, –1)satisfytheinequality
y

2
3
x
+ 3
?

To determine if the point \((-9, -1)\) satisfies the inequality

\[ y \leq \frac{2}{3}x + 3, \]

we will substitute \(x = -9\) and \(y = -1\) into the inequality.

First, calculate \(\frac{2}{3}x + 3\):

\[ \frac{2}{3}(-9) + 3 = -6 + 3 = -3. \]

Now, check if

\[ -1 \leq -3. \]

This statement is false.

Since the inequality does not hold true, we conclude that the point \((-9, -1)\) does not satisfy the inequality.

So, the answer is no.

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today is november 6th what national day is it today

November 6th is recognized as several national days in the United States and beyond. Some of the notable observances for this date include:

  • National Nachos Day: A day to enjoy and celebrate nachos, a popular snack made with tortilla chips and cheese, often topped with various ingredients.
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If you have a specific context in mind or are looking for a particular celebration, please let me know!