Chapter 2: Q43. (page 99)

We have to find the point which satisfy the inequality $y > 5 |x| - 3$
The options are
$\begin{array}{l} A . (2, 2) \\ B . (- 1, 3) \\ C . (3, 7) \\ D . (- 2, 4) \end{array}$

Short Answer

Expert verified

The option B is correct and right.

Step by step solution

Step-1 – Write the given inequality

Here the inequality is given as $y > 5 |x| - 3$

We have to put the value or point in the inequality to find which inequality is correct.

Step-2 – Put each value to find whether the inequality is true or not.

By putting the value from the option as

Here first option is $(2, 2)$ in the inequality $y > 5 |x| - 3$ as

$\begin{array}{l} y > 5 |x| - 3 \\ 2 > 5 |2| - 3 \\ 2 > 7 \end{array}$

Which is not true.

Here by putting the second option $(- 1, 3)$ in the inequality $y > 5 |x| - 3$ as

$\begin{array}{l} y > 5 |x| - 3 \\ 3 > 5 |- 1| - 3 \\ 3 > 5 - 3 \\ 3 > 2 \end{array}$

Which is true.

Now by putting the third option $(3, 7)$ in the inequality as

$\begin{array}{l} y > 5 |x| - 3 \\ 7 > 5 |3| - 3 \\ 7 > 15 - 3 \\ 7 > 12 \end{array}$

Which is not true.

Now by putting the fourth option $(- 2, 4)$ in the inequality as

$\begin{array}{l} y > 5 |x| - 3 \\ 4 > 5 |- 2| - 3 \\ 4 > 10 - 3 \\ 4 > 7 \end{array}$

Which is not true.

Therefore, the option B is correct and right.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

We have to find the point which satisfy the inequality $y > 5 |x| - 3$
The options are
$\begin{array}{l} A . (2, 2) \\ B . (- 1, 3) \\ C . (3, 7) \\ D . (- 2, 4) \end{array}$

Short Answer

Step by step solution

Step-1 – Write the given inequality

Step-2 – Put each value to find whether the inequality is true or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Mechanics Maths

Logic and Functions

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

We have to find the point which satisfy the inequalityy>5x-3The options areA.(2,2)B.(−1,3)C.(3,7)D.(−2,4)

Short Answer

Step by step solution

Step-1 – Write the given inequality

Step-2 – Put each value to find whether the inequality is true or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Mechanics Maths

Logic and Functions

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

We have to find the point which satisfy the inequality $y > 5 |x| - 3$
The options are
$\begin{array}{l} A . (2, 2) \\ B . (- 1, 3) \\ C . (3, 7) \\ D . (- 2, 4) \end{array}$