Answer:
これが役立つことを願っています
TENHA UM BOM DIA
Explanation:
The correct inequality that creates the given graph is y ≥ 4|x − 3| + 7.
To determine the correct inequality, we need to analyze the graph. The graph represents a horizontal line, which means that the value of y remains constant regardless of the value of x. In this case, the line is above the x-axis, indicating that y is greater than or equal to a certain value.
Since the graph is symmetric with respect to the y-axis, we know that the equation contains an absolute value. The absolute value function, |x − 3|, represents the distance between x and 3 on the number line.
Now, let's consider the slope of the line. The slope of the line is positive, which means that the absolute value function is positive. This tells us that the inequality includes a positive coefficient before the absolute value function.
Finally, let's look at the y-intercept. The y-intercept is 7, indicating that the value of y is at least 7 when x is 0.
Combining all this information, we can conclude that the correct inequality is y ≥ 4|x − 3| + 7. This inequality ensures that y is greater than or equal to the positive value of the absolute value function plus 7, which matches the given graph.