To correct Aubrey's mistake regarding the domain of the relationship shown in the given graph, we need to identify the correct range of x-values the parabola covers.
From your description, the parabola extends horizontally from \( x = -5 \) to \( x = 3 \). Therefore, the correct domain for the inequality should be:
\[ -5 \leq x \leq 3 \]
So, Aubrey's initial claim of \( 0 \leq x \leq 1 \) is incorrect because it does not encompass the entire range of x-values where the parabola is defined. The corrected inequality should be:
\[ -5 \leq x \leq 3 \]
#11. The graph shows a coordinate plane that goes from negative 6 to 6 in each direction, as well as a parabola that extends horizontally from "x" equals negative 5 to "x" equals 3 and vertically from "y" equals negative 3.2 5 to "y" equals 3. A section of the parabola—corresponding to the inequality written in the math input field—is highlighted. Aubrey says the DOMAIN of the relationship shown here is 0≤x≤1, but that's not correct. Edit the numbers in the inequality below to correct her mistake.
5 answers
what does leq mean in math symbol
In mathematical notation, "≤" is the symbol for "less than or equal to." It is used to compare two values, indicating that the value on the left is either less than or equal to the value on the right. For example:
\[ x \leq 5 \]
This means that \( x \) can be any value that is less than or equal to 5.
\[ x \leq 5 \]
This means that \( x \) can be any value that is less than or equal to 5.
which way is the leq symbpol facing in the equation
In the equation \( -5 \leq x \leq 3 \), the "less than or equal to" symbol (\( \leq \)) faces the following way:
- In \( -5 \leq x \), it faces left, indicating that \( x \) is greater than or equal to \(-5\).
- In \( x \leq 3 \), it faces right, indicating that \( x \) is less than or equal to 3.
Thus, the entire inequality reads as: \( x \) is between \(-5\) and 3, inclusive.
Here is the inequality again for clarity:
\[ -5 \leq x \leq 3 \]
This means \( x \) can take any value from \(-5\) to 3, including both \(-5\) and 3.
- In \( -5 \leq x \), it faces left, indicating that \( x \) is greater than or equal to \(-5\).
- In \( x \leq 3 \), it faces right, indicating that \( x \) is less than or equal to 3.
Thus, the entire inequality reads as: \( x \) is between \(-5\) and 3, inclusive.
Here is the inequality again for clarity:
\[ -5 \leq x \leq 3 \]
This means \( x \) can take any value from \(-5\) to 3, including both \(-5\) and 3.