Chapter 2: Q52. (page 104)

Graph each inequality.
$52 . 鈥� 鈥� 鈥� 2 x + y 鈮� 3$

Short Answer

Expert verified

The graph of inequality is as shown.

Step by step solution

Step-1 – convert the given in equation in to equation

$\begin{array}{l} 2 x + y 鈮� 3....... (1) \\ 2 x + y = 3 \end{array}$

Step-2 – Solving for point identification

To solve the equation by putting the value of given variables one by one zero we get,

$\begin{matrix} x & 0 & 1.5 \\ y & 3 & 0 \end{matrix}$

Step-3 – solve to identify the shaded region with respect to origin

Now, substitute point $(0, 0)$ in first equation we get,

\begin{array}{l} 2 x + y 鈮� 3 \\ 2 (0) + 0 鈮� 3 \\ 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� 0 鈮� 3 \end{array}

$0 鈮� 3$ It is not true, so that shaded region fall away from the origin.

Step-4 – Plot the graph

Hence, the graph of inequality is as shown.

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91影视

Graph each inequality.
$52 . 鈥� 鈥� 鈥� 2 x + y 鈮� 3$

Short Answer

Step by step solution

Step-1 – convert the given in equation in to equation

Step-2 – Solving for point identification

Step-3 – solve to identify the shaded region with respect to origin

Step-4 – Plot the graph

One App. One Place for Learning.

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91影视

Graph each inequality.52.鈥�鈥�鈥�2x+y鈮�3

Short Answer

Step by step solution

Step-1 – convert the given in equation in to equation

Step-2 – Solving for point identification

Step-3 – solve to identify the shaded region with respect to origin

Step-4 – Plot the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Mechanics Maths

Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Graph each inequality.
$52 . 鈥� 鈥� 鈥� 2 x + y 鈮� 3$