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Dimas [21]
3 years ago
9

Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error

.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

x ≤ - 2

Step-by-step explanation:

Given the inequality :

3x+5≤−1

Subtract 5 from both sides

3x + 5 - 5 ≤ - 1 - 5

3x ≤ - 6

Divide both sides by 3

3x/3 ≤ - 6/3

x ≤ - 2

Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.

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Answer:

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Step-by-step explanation:

Recall when it means when a function is even or odd. An even function has the following property:

f(-x)=f(x)

And an odd function has the following property:

f(-x)=-f(x)

So, let's test some values for cos(x).

Let's use π/3:

f(\pi/3)=\cos(\pi/3)

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).

Now, let's find -π/3. This is the same as 5π/3. Thus:

f(-\pi/3)=\cos(-\pi/3)

And again from the unit circle, we can see that this is 1/2.

Therefore, despite the negative, the function outputs the same value.

Cosine is an even function.

Notes:

Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!

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Answer:

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