Question
Write a 2 step inequality for this graph.
There is a graph ranging from negitive 10 to 10, and there is an open point between 4 and 5 just after 4 with a leftward arrow pointing to negitive ten.
There is a graph ranging from negitive 10 to 10, and there is an open point between 4 and 5 just after 4 with a leftward arrow pointing to negitive ten.
Answers
GPT-4o mini
Based on your description of the graph, it indicates that the value of \( x \) is less than 4, but not including 4 itself (since there is an open point). The leftward arrow suggests that the values go down to negative infinity, but are still bounded above by 4.
To express this as a two-step inequality, we can write it as follows:
1. The first part states that \( x \) is less than 4:
\[ x < 4 \]
2. Since the graph goes down to negative ten but there are no boundaries mentioned in your description for the lower end, we can denote that \( x \) can be any value greater than or equal to negative infinity. So, we can just write:
\[ x > -10 \]
Combining these two parts, we can express the solution together as:
\[ -10 < x < 4 \]
This means \( x \) is greater than -10 and less than 4.
To express this as a two-step inequality, we can write it as follows:
1. The first part states that \( x \) is less than 4:
\[ x < 4 \]
2. Since the graph goes down to negative ten but there are no boundaries mentioned in your description for the lower end, we can denote that \( x \) can be any value greater than or equal to negative infinity. So, we can just write:
\[ x > -10 \]
Combining these two parts, we can express the solution together as:
\[ -10 < x < 4 \]
This means \( x \) is greater than -10 and less than 4.