Question
What would a number line representing \( g \neq 7 \) look like? hollow circle at 7 , with arrows extending to the left and right hollow circle at 7 , with an arrow extending to the left solid circle at 7 , with arrows extending to the left and right hollow circle at 7 , with an arrow extending to the right
Ask by Gray Chavez. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
A hollow circle at 7 with arrows extending to the left and right.
Solution
1. We are representing the inequality \( g \neq 7 \), which means \( g \) can be any number except 7.
2. On a number line, this is indicated by a hollow (open) circle at 7 to show that 7 is not included.
3. Since there is no restriction on values less than or greater than 7, the number line will have arrows extending in both directions (to the left and right).
Thus, the correct representation is:
- Hollow circle at 7, with arrows extending to the left and right.
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Simplify this solution Mind Expander
Imagine a number line where all real numbers are represented. To denote \( g \neq 7 \), we place a hollow circle at the number 7. This signifies that 7 itself is not included in the set of values that \( g \) can take. From this point, arrows extend infinitely in both the left and right directions, showcasing that \( g \) can be any number except 7. In essence, this visual representation illustrates the concept of exclusion, effectively communicating that while all other numbers are valid for \( g \), 7 is not allowed. It's a powerful way to visualize inequalities and open sets in mathematics!
