Question

question
select the values that make the inequality ( p geq 4 ) true.
(numbers written in order from least to greatest going across.)

answer attempt 1 out of 2
-4 -1 1
3 3.9 3.99
3.999 4 4.001
4.01 4.1 5
7 9 12

Explanation:

Answer:

4, 4.001, 4.01, 4.1, 5, 7, 9, 12, 3.999 (wait, no, 3.999 is less than 4? Wait, no: \( p \geq 4 \) means \( p \) is greater than or equal to 4. So let's check each:

• -4: no
• -1: no
• 1: no
• 3: no
• 3.9: no
• 3.99: no
• 3.999: no (3.999 < 4)
• 4: yes (4 ≥ 4)
• 4.001: yes (4.001 ≥ 4)
• 4.01: yes
• 4.1: yes
• 5: yes
• 7: yes
• 9: yes
• 12: yes

Wait, I made a mistake earlier. So the correct values are 4, 4.001, 4.01, 4.1, 5, 7, 9, 12. Wait, wait, let's list all:

Check each number:

• -4: <4 → no
• -1: <4 → no
• 1: <4 → no
• 3: <4 → no
• 3.9: <4 → no
• 3.99: <4 → no
• 3.999: <4 → no (3.999 is 3.999, which is less than 4)
• 4: =4 → yes
• 4.001: >4 → yes
• 4.01: >4 → yes
• 4.1: >4 → yes
• 5: >4 → yes
• 7: >4 → yes
• 9: >4 → yes
• 12: >4 → yes

So the values are 4, 4.001, 4.01, 4.1, 5, 7, 9, 12. Wait, but in the options, is 4 included? Yes, because 4 ≥4. So the correct selected values are 4, 4.001, 4.01, 4.1, 5, 7, 9, 12. Wait, but let's check again:

Numbers given: -4, -1, 1, 3, 3.9, 3.99, 3.999, 4, 4.001, 4.01, 4.1, 5, 7, 9, 12.

So which are ≥4?

4 (yes), 4.001 (yes), 4.01 (yes), 4.1 (yes), 5 (yes), 7 (yes), 9 (yes), 12 (yes). Also, wait, 3.999 is 3.999, which is less than 4, so no. So the correct ones are 4, 4.001, 4.01, 4.1, 5, 7, 9, 12. Wait, but maybe I missed 4? Yes, 4 is included. So the answer is selecting 4, 4.001, 4.01, 4.1, 5, 7, 9, 12.

But the problem says "select the values", so the checkboxes for these numbers should be selected. So the final answer is the numbers 4, 4.001, 4.01, 4.1, 5, 7, 9, 12.