Question
Which of the following are solutions to the inequality below? Select all that apply.
11g ≥ 60
Video
く
g=7
g = 10
9 =3
g = 8
11g ≥ 60
Video
く
g=7
g = 10
9 =3
g = 8
Answers
Answered by
GPT-4o mini
To solve the inequality \( 11g \geq 60 \), we first divide both sides by 11:
\[
g \geq \frac{60}{11} \approx 5.45
\]
Now we can evaluate the given options:
1. **\( g = 7 \)**:
- \( 7 \geq 5.45 \) is true.
2. **\( g = 10 \)**:
- \( 10 \geq 5.45 \) is true.
3. **\( g = 8 \)**:
- \( 8 \geq 5.45 \) is true.
4. **\( 9 = 3 \)**:
- This is not a value for \( g \) and does not relate to the inequality.
Thus, the solutions to the inequality \( 11g \geq 60 \) from the options provided are:
- \( g = 7 \)
- \( g = 10 \)
- \( g = 8 \)
The only option that is not a solution to the inequality is **\( 9 = 3 \)**.
\[
g \geq \frac{60}{11} \approx 5.45
\]
Now we can evaluate the given options:
1. **\( g = 7 \)**:
- \( 7 \geq 5.45 \) is true.
2. **\( g = 10 \)**:
- \( 10 \geq 5.45 \) is true.
3. **\( g = 8 \)**:
- \( 8 \geq 5.45 \) is true.
4. **\( 9 = 3 \)**:
- This is not a value for \( g \) and does not relate to the inequality.
Thus, the solutions to the inequality \( 11g \geq 60 \) from the options provided are:
- \( g = 7 \)
- \( g = 10 \)
- \( g = 8 \)
The only option that is not a solution to the inequality is **\( 9 = 3 \)**.
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