#25 ### The Graph Shows the Solution for Which Inequalities?#### IntroductionIn this section, you will analyze a graph to determine which system of inequalities it represents. Carefully examine the graph and the given inequalities to make the correct choice.#### Graph DescriptionThe graph contains a shaded region split into different colors, representing areas where different inequalities are true. - The \(y\)-axis ranges from \(-5\) to \(5\), and the \(x\)-axis ranges from \(-5\) to \(5\).- There are two lines: 1. The **orange line** corresponds to the equation \(y = \frac{1}{3}x - 2\). It passes through the points \((0, -2)\) and \((3, -1)\). 2. The **blue line** corresponds to the equation \(y = 2x + 3\). It passes through the points \((0, 3)\) and \((1, 5)\).#### Colored Regions- The **blue region** denotes \(y \geq \frac{1}{3} x - 2\).- The **green region** denotes the overlapping area where both inequalities are satisfied.- The **yellow region** denotes \(y \leq 2x + 3\).#### Inequality OptionsYou are presented with four options to determine the accurate pair of inequalities represented by the graph:1. \( y \geq \frac{1}{3} x - 2\) and \( y \leq 2 x - 3\)2. \( y \geq 3 x - 2\) and \( y \leq \frac{1}{2} x + 3\)3. \( y \geq \frac{1}{3} x + 2 \) and \( y \leq 2 x + 3 \)4. \( y \leq 3 x - 2 \) and \( y \geq \frac{1}{2} x + 3\)### ExplanationEvaluate each pair of inequalities against the regions represented in the graph to find the correct match.#### Correct Selection:To properly identify the shaded regions:1. **\( y \geq \frac{1}{3} x - 2 \)**: This covers the area above the orange line.2.

Name: #25 ### The Graph Shows the Solution for Which Inequalities?#### Intro
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: #25 ### The Graph Shows the Solution for Which Inequalities?#### IntroductionIn this section, you will analyze a graph to determine which system of inequalities it represents. Carefully examine the graph and the given inequalities to make the correct