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dimaraw [331]
2 years ago
7

Is (2, 2) a solution of the inequality y ≤ 3x - 5?

Mathematics
1 answer:
ZanzabumX [31]2 years ago
8 0

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\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}

Is (2,2) a solution of the inequality y≤3x-5?

\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

Simply write the y-coordinate in lieu of y and write the x-coordinate in lieu of x:-

2≤3(2)-5

Multiply:-

2≤6-5

2≤1

2 <em>is </em>less than 1, but it's not equal to 1.

So the right option is:-

\bigcirc\!\!\!\!\!\bigstar (2,2) would be a solution if the inequality was y<3x-5

<h3>Good luck.</h3>

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Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher ma
alexira [117]

<u><em>Answer:</em></u>

The given equation has <u>infinite number of solutions</u>. This means that <u>any real number</u> can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

<u><em>Explanation:</em></u>

To solve for x, we need to isolate the x on one side of the equation.

<u>This can be done as follows:</u>

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

<u>Let's verify this using the given replacement set {2,3,4,5}:</u>

<u>For x = 2: </u>

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

<u>For x = 3:</u>

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

<u>For x = 4:</u>

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

<u>For x = 5:</u>

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)


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How can you identify the solution to a system of equations from a graph?
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Answer:

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Step-by-step explanation:

Where the graphs intersect is the solution to the system of equations

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