Chapter 2: Q42. (page 99)

Choose the correct inequality for the graph
The options are
$\begin{array}{l} A . y < 3 x + 2 \\ B . y \leq 3 x + 2 \\ C . y > 3 x + 2 \\ D . y \geq 3 x + 2 \end{array}$

Short Answer

Expert verified

Here, option A is correct

The inequality for the graph is

$y < 3 x + 2$

Step by step solution

Step-1 – Apply the concept of plotting graph.

Here we have to represent the points to the left of the equation $y < 3 x + 2$

The graph of the function is given as

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 $\leq$ But in case of shows that graph is under the line and is solid.

Also, the sign $\geq$ the sign but in case of shows that graph is above the line and is solid.

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

Hence, option A is correct.

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Choose the correct inequality for the graph
The options are
$\begin{array}{l} A . y < 3 x + 2 \\ B . y \leq 3 x + 2 \\ C . y > 3 x + 2 \\ D . y \geq 3 x + 2 \end{array}$

Short Answer

Step by step solution

Step-1 – Apply the concept of plotting graph.

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

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Choose the correct inequality for the graphThe options areA.y<3x+2B.y≤3x+2C.y>3x+2D.y≥3x+2

Short Answer

Step by step solution

Step-1 – Apply the concept of plotting graph.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Logic and Functions

Statistics

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

Choose the correct inequality for the graph
The options are
$\begin{array}{l} A . y < 3 x + 2 \\ B . y \leq 3 x + 2 \\ C . y > 3 x + 2 \\ D . y \geq 3 x + 2 \end{array}$