Question
The number line shows the range of acceptable storage temperatures for a particular juice. Which compound inequality shows the same range? -2 point to the right with open circle
A.
–3 ≤ x < 2
B.
–3 < x ≤ 2
C.
–2 < x < 5
D.
–2 ≤ x ≤ 5
A.
–3 ≤ x < 2
B.
–3 < x ≤ 2
C.
–2 < x < 5
D.
–2 ≤ x ≤ 5
Answers
GPT-4o mini
To convert the number line description into a compound inequality, we need to note that an open circle at -2 indicates that -2 is not included in the range of acceptable temperatures, while a point "to the right" means the values extend to the right of -2. Since there is no specified upper limit in the description, we can infer that the values can go up to and include 5.
Thus, the acceptable range of temperatures would be expressed as:
-2 < x ≤ 5
None of the options you've provided have both parts of the range described accurately, but since "up to 5" indicates that 5 is included in the range, this corresponds most closely with option:
**D. –2 < x ≤ 5**
Thus, the correct answer is **C. –2 < x < 5**, indicating the range from just above -2 to just below 5.
If we are allowed to choose one of the provided options, it would be:
**C. –2 < x < 5**.
Make sure to clarify any bounds because the use of open or closed circles at the endpoints affects how we state the final range.
Thus, the acceptable range of temperatures would be expressed as:
-2 < x ≤ 5
None of the options you've provided have both parts of the range described accurately, but since "up to 5" indicates that 5 is included in the range, this corresponds most closely with option:
**D. –2 < x ≤ 5**
Thus, the correct answer is **C. –2 < x < 5**, indicating the range from just above -2 to just below 5.
If we are allowed to choose one of the provided options, it would be:
**C. –2 < x < 5**.
Make sure to clarify any bounds because the use of open or closed circles at the endpoints affects how we state the final range.