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II. Sketch the graph of the inequality. 2.) 5x + 3y 2 - 15 y 4 61 5- 4- 3- 2- 392 gms arit ai 192 noituloz erit 16rj st6ibni noitulce oh -6 -5 -4 -3-2-1 1 2 3 4 56 F11 -2- -3 -4- -5- -6-

II. Sketch the graph of the inequality. 2.) 5x + 3y 2 - 15 y 4 61 5- 4- 3- 2- 392 gms arit ai 192 noituloz erit 16rj st6ibni noitulce oh -6 -5 -4 -3-2-1 1 2 3 4 56 F11 -2- -3 -4- -5- -6-

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image appears to be a math problem and graph related to inequalities. Here is the transcription and description for educational purposes: --- **Problem:** II. Sketch the graph of the inequality. 2) \(5x + 3y \geq -15\) **Graph Description:** - The graph features a standard Cartesian coordinate plane with the x-axis and y-axis both ranging from -6 to 6. - It likely includes a boundary line representing the equation \(5x + 3y = -15\). - Since the inequality is \(\geq\), the region that satisfies the inequality would be shaded above the line. - The exact points of intersection of the line with the axes and any specific shading are not visible. **Note:** To graph this inequality, follow these steps: 1. **Find the Intercepts:** - Determine the x-intercept by setting \(y = 0\) and solving for \(x\). - Determine the y-intercept by setting \(x = 0\) and solving for \(y\). 2. **Sketch the Boundary Line:** - Plot the intercepts and draw a straight line through these two points. - Since the inequality symbol is \(\geq\), use a solid line to indicate that points on the line satisfy the inequality. 3. **Shade the Solution Region:** - Choose a test point not on the line, such as (0,0), and substitute it into the inequality. - If the inequality holds true, shade the region containing the test point. Otherwise, shade the opposite side. Always label your axes and show any critical calculations clearly.
Transcribed Image Text:The image appears to be a math problem and graph related to inequalities. Here is the transcription and description for educational purposes: --- **Problem:** II. Sketch the graph of the inequality. 2) \(5x + 3y \geq -15\) **Graph Description:** - The graph features a standard Cartesian coordinate plane with the x-axis and y-axis both ranging from -6 to 6. - It likely includes a boundary line representing the equation \(5x + 3y = -15\). - Since the inequality is \(\geq\), the region that satisfies the inequality would be shaded above the line. - The exact points of intersection of the line with the axes and any specific shading are not visible. **Note:** To graph this inequality, follow these steps: 1. **Find the Intercepts:** - Determine the x-intercept by setting \(y = 0\) and solving for \(x\). - Determine the y-intercept by setting \(x = 0\) and solving for \(y\). 2. **Sketch the Boundary Line:** - Plot the intercepts and draw a straight line through these two points. - Since the inequality symbol is \(\geq\), use a solid line to indicate that points on the line satisfy the inequality. 3. **Shade the Solution Region:** - Choose a test point not on the line, such as (0,0), and substitute it into the inequality. - If the inequality holds true, shade the region containing the test point. Otherwise, shade the opposite side. Always label your axes and show any critical calculations clearly.
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