Asked by hhfhfhfhf
use inverse operations to solve for y: y+8>10
y<2
y>18
y<18
y>2
y<2
y>18
y<18
y>2
Answers
Answered by
hhfhfhfhf
which one
Answered by
hhfhfhfhf
pick one of the answers
Answered by
hhfhfhfhf
Solve x+14<25 . Make sure to write your inequality so that x comes first.
Answered by
hhfhfhfhf
Solve x−8≥5 . Make sure to write your inequality so that x comes first.
Answered by
hhfhfhfhf
Solve x+10.5<20.2 . Make sure to write your inequality so that x comes first.
Answered by
GPT-4o mini
Let's solve the inequality step by step using inverse operations.
Starting with the first inequality:
1. **\( y + 8 > 10 \)**
To isolate \( y \), subtract 8 from both sides:
\[
y + 8 - 8 > 10 - 8
\]
\[
y > 2
\]
So the solution to the first inequality is:
\[
y > 2
\]
Now, let's examine the other inequalities listed:
2. **\( y < 2 \)**: This means \( y \) is less than 2.
3. **\( y > 18 \)**: This means \( y \) is greater than 18.
4. **\( y < 18 \)**: This means \( y \) is less than 18.
5. **\( y > 2 \)**: This matches our first inequality.
Now, let's summarize what we have:
- From the first inequality, \( y > 2 \).
- The second inequality \( y < 2 \) contradicts our first solution.
- The third inequality \( y > 18 \) does not contradict \( y > 2 \).
- The fourth inequality \( y < 18 \) still does not provide a complete range as it depends on other conditions.
- The last inequality \( y > 2 \) reaffirms our first solution.
Since we recognize that \( y < 2 \) contradicts \( y > 2 \), the solutions presented cannot all hold true simultaneously as they contradict one another.
The valid solution, based on the information given, is:
\[
y > 2 \quad \text{and} \quad y < 18 \quad \Rightarrow \quad 2 < y < 18
\]
So, if we were to combine the valid inequalities, the overall solution would be:
\[
2 < y < 18 \quad \text{or} \quad y \in (2, 18)
\]
Starting with the first inequality:
1. **\( y + 8 > 10 \)**
To isolate \( y \), subtract 8 from both sides:
\[
y + 8 - 8 > 10 - 8
\]
\[
y > 2
\]
So the solution to the first inequality is:
\[
y > 2
\]
Now, let's examine the other inequalities listed:
2. **\( y < 2 \)**: This means \( y \) is less than 2.
3. **\( y > 18 \)**: This means \( y \) is greater than 18.
4. **\( y < 18 \)**: This means \( y \) is less than 18.
5. **\( y > 2 \)**: This matches our first inequality.
Now, let's summarize what we have:
- From the first inequality, \( y > 2 \).
- The second inequality \( y < 2 \) contradicts our first solution.
- The third inequality \( y > 18 \) does not contradict \( y > 2 \).
- The fourth inequality \( y < 18 \) still does not provide a complete range as it depends on other conditions.
- The last inequality \( y > 2 \) reaffirms our first solution.
Since we recognize that \( y < 2 \) contradicts \( y > 2 \), the solutions presented cannot all hold true simultaneously as they contradict one another.
The valid solution, based on the information given, is:
\[
y > 2 \quad \text{and} \quad y < 18 \quad \Rightarrow \quad 2 < y < 18
\]
So, if we were to combine the valid inequalities, the overall solution would be:
\[
2 < y < 18 \quad \text{or} \quad y \in (2, 18)
\]
Answered by
GPT-4o mini
Apologies for the confusion. Let's clarify the inequalities:
1. \( y + 8 > 10 \) translates to \( y > 2 \).
2. \( y < 2 \) contradicts with \( y > 2 \).
3. \( y > 18 \) is a separate statement and does not interact with \( y < 2 \) or \( y > 2 \).
4. \( y < 18 \) does provide an upper limit to the values \( y \) can take.
5. \( y > 2 \) reaffirms the first inequality.
Given all these inequalities:
- \( y > 2 \) and \( y < 2 \) cannot be true simultaneously.
- Therefore, the system has no solution because the first two inequalities contradict each other.
So, no value of \( y \) satisfies **all** the given conditions.
If we only consider **non-contradicting conditions**, we can state:
- From \( y > 2 \) and \( y < 18 \), you can only conclude:
\[
2 < y < 18
\]
However, since \( y < 2 \) and \( y > 18 \) cannot both coexist with \( y > 2 \) as true, the most straightforward conclusion is that there is **no overall solution** that can satisfy all inequalities together as given.
Thus, the answer is:
**No solution**.
1. \( y + 8 > 10 \) translates to \( y > 2 \).
2. \( y < 2 \) contradicts with \( y > 2 \).
3. \( y > 18 \) is a separate statement and does not interact with \( y < 2 \) or \( y > 2 \).
4. \( y < 18 \) does provide an upper limit to the values \( y \) can take.
5. \( y > 2 \) reaffirms the first inequality.
Given all these inequalities:
- \( y > 2 \) and \( y < 2 \) cannot be true simultaneously.
- Therefore, the system has no solution because the first two inequalities contradict each other.
So, no value of \( y \) satisfies **all** the given conditions.
If we only consider **non-contradicting conditions**, we can state:
- From \( y > 2 \) and \( y < 18 \), you can only conclude:
\[
2 < y < 18
\]
However, since \( y < 2 \) and \( y > 18 \) cannot both coexist with \( y > 2 \) as true, the most straightforward conclusion is that there is **no overall solution** that can satisfy all inequalities together as given.
Thus, the answer is:
**No solution**.
Answered by
GPT-4o mini
Sure! Among the inequalities listed:
1. \( y + 8 > 10 \) leads to \( y > 2 \).
2. \( y < 2 \) contradicts the first.
3. \( y > 18 \) is independent and means \( y \) is greater than 18.
4. \( y < 18 \) means \( y \) is less than 18.
5. \( y > 2 \) reaffirms the first.
Since we need to pick one of the options provided, I will choose:
**\( y > 2 \)**.
This inequality is derived from the first condition and does not contradict any other condition except for the second one. However, since it leads to a valid range when considered with the fourth inequality \( y < 18 \), it provides useful information.
So, **the chosen answer is:**
**\( y > 2 \)**.
1. \( y + 8 > 10 \) leads to \( y > 2 \).
2. \( y < 2 \) contradicts the first.
3. \( y > 18 \) is independent and means \( y \) is greater than 18.
4. \( y < 18 \) means \( y \) is less than 18.
5. \( y > 2 \) reaffirms the first.
Since we need to pick one of the options provided, I will choose:
**\( y > 2 \)**.
This inequality is derived from the first condition and does not contradict any other condition except for the second one. However, since it leads to a valid range when considered with the fourth inequality \( y < 18 \), it provides useful information.
So, **the chosen answer is:**
**\( y > 2 \)**.
Answered by
GPT-4o mini
To solve the inequality \( x + 14 < 25 \) and rewrite it so that \( x \) comes first, follow these steps:
1. Subtract 14 from both sides of the inequality:
\[
x + 14 - 14 < 25 - 14
\]
2. Simplifying this gives:
\[
x < 11
\]
Now, to write the inequality so that \( x \) comes first, we can simply write:
\[
x < 11
\]
So, the final answer is:
**\( x < 11 \)**.
1. Subtract 14 from both sides of the inequality:
\[
x + 14 - 14 < 25 - 14
\]
2. Simplifying this gives:
\[
x < 11
\]
Now, to write the inequality so that \( x \) comes first, we can simply write:
\[
x < 11
\]
So, the final answer is:
**\( x < 11 \)**.
Answered by
GPT-4o mini
To solve the inequality \( x - 8 \geq 5 \) and write it so that \( x \) comes first, follow these steps:
1. Add 8 to both sides of the inequality:
\[
x - 8 + 8 \geq 5 + 8
\]
2. Simplifying this gives:
\[
x \geq 13
\]
Now, the inequality already has \( x \) first, so we can state it directly:
**\( x \geq 13 \)**.
1. Add 8 to both sides of the inequality:
\[
x - 8 + 8 \geq 5 + 8
\]
2. Simplifying this gives:
\[
x \geq 13
\]
Now, the inequality already has \( x \) first, so we can state it directly:
**\( x \geq 13 \)**.
Answered by
GPT-4o mini
To solve the inequality \( x + 10.5 < 20.2 \) and write it so that \( x \) comes first, follow these steps:
1. Subtract \( 10.5 \) from both sides of the inequality:
\[
x + 10.5 - 10.5 < 20.2 - 10.5
\]
2. Simplifying this gives:
\[
x < 9.7
\]
Now, the inequality already has \( x \) first, so we can state it directly as:
**\( x < 9.7 \)**.
1. Subtract \( 10.5 \) from both sides of the inequality:
\[
x + 10.5 - 10.5 < 20.2 - 10.5
\]
2. Simplifying this gives:
\[
x < 9.7
\]
Now, the inequality already has \( x \) first, so we can state it directly as:
**\( x < 9.7 \)**.