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Chapter 2: Q42. (page 99)

Choose the correct inequality for the graph

The options are

A.y<3x+2B.y鈮�3x+2C.y>3x+2D.y鈮�3x+2

Short Answer

Expert verified

Here, option A is correct

The inequality for the graph is

y<3x+2

Step by step solution

01

Step-1 – Apply the concept of plotting graph.

Here we have to represent the points to the left of the equationy<3x+2

The graph of the function is given as

02

Step-2 – Use the concept of dashed and solid line to check the inequality from the graph.

The sign less than < shows that graph is under the line and which is shown by dashed line in the graph.

Similarly, the sign greater than > shows that graph is above the line and which is also shown by dashed line in the graph.

But in case of sign 鈮� But in case of shows that graph is under the line and is solid.

Also, the sign 鈮� the sign but in case of shows that graph is above the line and is solid.

Therefore, the graph shows that inequality is y<3x+2

Hence, option A is correct.

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