Question
Can someone check my answers. I'm so co fused. It is for solve multiplication inequalities quick check 7B 6.24
1. Solve 8x>24. Answer. A. X>3
2. Solve x/13 <4/5. Answer. D. X< 10 2/5 other options are x>52/5, x<4/65, and x<13 4/5
3. Solve inequality 4x>10. Answer B. Time showsopen circle at 2.5 going to right
4. Timeline open circle at 1.75 going left ,my answer is 6x<10.5 other options are 1.75x<3.5 , 4x>7, and 8x<14
5. Solve inequality 2/3 ×<( underscored)5. Answer B. Timeline closed circle at on the right of the 4 going left.
3. B. Time line
4. D. Timeline
5. B. Timeline
1. Solve 8x>24. Answer. A. X>3
2. Solve x/13 <4/5. Answer. D. X< 10 2/5 other options are x>52/5, x<4/65, and x<13 4/5
3. Solve inequality 4x>10. Answer B. Time showsopen circle at 2.5 going to right
4. Timeline open circle at 1.75 going left ,my answer is 6x<10.5 other options are 1.75x<3.5 , 4x>7, and 8x<14
5. Solve inequality 2/3 ×<( underscored)5. Answer B. Timeline closed circle at on the right of the 4 going left.
3. B. Time line
4. D. Timeline
5. B. Timeline
Answers
Answered by
GPT-4o mini
Let's go through each of the problems one by one and check your answers.
1. **Solve \(8x > 24\)**:
To solve this inequality, divide both sides by 8:
\[
x > \frac{24}{8} = 3
\]
Your answer: **A. \(x > 3\)** - Correct.
2. **Solve \(\frac{x}{13} < \frac{4}{5}\)**:
To solve for \(x\), multiply both sides by 13:
\[
x < 13 \times \frac{4}{5} = \frac{52}{5} = 10.4
\]
Your answer: **D. \(x < 10 \frac{2}{5}\)** (or \(x < 10.4\)) - Correct.
3. **Solve the inequality \(4x > 10\)**:
Divide both sides by 4:
\[
x > \frac{10}{4} = 2.5
\]
Your answer: **B. Timeline shows an open circle at 2.5 going to the right** - Correct.
4. **You mentioned "open circle at \(1.75\) going left" for \(6x < 10.5\)**:
To solve \(6x < 10.5\), divide both sides by 6:
\[
x < \frac{10.5}{6} = 1.75
\]
So the open circle should be at \(1.75\) and shading goes to the left.
Your answer: **Timeline open circle at 1.75 going left** - Correct.
5. **Solve the inequality \(\frac{2}{3}x < 5\)**:
To isolate \(x\), multiply both sides by \(\frac{3}{2}\):
\[
x < 5 \times \frac{3}{2} = \frac{15}{2} = 7.5
\]
This means you should have an open circle at \(7.5\) with shading going to the left.
Your answer: **B. Timeline closed circle at 4 going left** - This answer is **incorrect**.
### Summary of Answers:
1. Correct: \(x > 3\)
2. Correct: \(x < 10 \frac{2}{5}\)
3. Correct: Open circle at \(2.5\) going to the right
4. Correct: Open circle at \(1.75\) going left (because \(x < 1.75\))
5. Incorrect: It should be open circle at \(7.5\) going left.
If you have any specific questions about these problems or need further clarification, feel free to ask!
1. **Solve \(8x > 24\)**:
To solve this inequality, divide both sides by 8:
\[
x > \frac{24}{8} = 3
\]
Your answer: **A. \(x > 3\)** - Correct.
2. **Solve \(\frac{x}{13} < \frac{4}{5}\)**:
To solve for \(x\), multiply both sides by 13:
\[
x < 13 \times \frac{4}{5} = \frac{52}{5} = 10.4
\]
Your answer: **D. \(x < 10 \frac{2}{5}\)** (or \(x < 10.4\)) - Correct.
3. **Solve the inequality \(4x > 10\)**:
Divide both sides by 4:
\[
x > \frac{10}{4} = 2.5
\]
Your answer: **B. Timeline shows an open circle at 2.5 going to the right** - Correct.
4. **You mentioned "open circle at \(1.75\) going left" for \(6x < 10.5\)**:
To solve \(6x < 10.5\), divide both sides by 6:
\[
x < \frac{10.5}{6} = 1.75
\]
So the open circle should be at \(1.75\) and shading goes to the left.
Your answer: **Timeline open circle at 1.75 going left** - Correct.
5. **Solve the inequality \(\frac{2}{3}x < 5\)**:
To isolate \(x\), multiply both sides by \(\frac{3}{2}\):
\[
x < 5 \times \frac{3}{2} = \frac{15}{2} = 7.5
\]
This means you should have an open circle at \(7.5\) with shading going to the left.
Your answer: **B. Timeline closed circle at 4 going left** - This answer is **incorrect**.
### Summary of Answers:
1. Correct: \(x > 3\)
2. Correct: \(x < 10 \frac{2}{5}\)
3. Correct: Open circle at \(2.5\) going to the right
4. Correct: Open circle at \(1.75\) going left (because \(x < 1.75\))
5. Incorrect: It should be open circle at \(7.5\) going left.
If you have any specific questions about these problems or need further clarification, feel free to ask!