I attached the question. thanks! The task is to sketch the set of all points \((x, y)\) such that \(|x + y| \leq e^x\).### Explanation:1. **Understanding the Inequality**: - The expression \(|x + y|\) represents the absolute value of \(x + y\). - The expression \(e^x\) is an exponential function, where \(e\) is the base of the natural logarithm, approximately equal to 2.71828.2. **Graphical Interpretation**: - The inequality means that the absolute value of the sum of \(x\) and \(y\) must be less than or equal to the exponential function evaluated at \(x\). - When visualizing, this will create a region bounded by the lines \(x + y = e^x\) and \(x + y = -e^x\).3. **Sketching Steps**: - Plot the curves \(x + y = e^x\) and \(x + y = -e^x\). - These curves will generally expand outwards as \(x\) increases due to the nature of the exponential function. - The solution set is the area between these two curves, including the curves themselves.This sketch represents the points \((x, y)\) that satisfy the given condition.

Name: I attached the question. thanks! The task is to sketch the set of all
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: I attached the question. thanks! The task is to sketch the set of all points \((x, y)\) such that \(|x + y| \leq e^x\).### Explanation:1. **Understanding the Inequality**: - The expression \(|x + y|\) represents the absolute value of \(x + y\). -