Chapter 3: Q5. (page 161)

What is the solution of the inequality $- 12 > y + 6$ ?
$y < - 18$
$y < - 6$
$y > - 18$
$y > - 6$

Short Answer

Expert verified

The correct answer of this question is A $y < - 18$ .

Step by step solution

Step 1. Apply the concept of linear inequality and do some mathematical operations.

In this, simply use the concept of linear inequality and do various mathematical operations like addition, subtraction to get the correct answer

Step 2. Find the solution of the inequality.

The solution of the inequality is obtained as:

$\begin{array}{l} - 12 > y + 6 \\ - 12 - 6 > y + 6 - 6 \\ - 18 > y \\ y < - 18 \end{array}$

(subtract 6 in both sides and simplify)

Step 3. Eliminating the options to get correct one

$y < - 18$ It is the correct option because after solving the inequality the answer is $y < - 18$ .
$y < - 6$ It is the incorrect option because after solving the inequality the answer is $y < - 18$ .
$y > - 18$ It is the incorrect option because after solving the inequality the answer is $y < - 18$ .
$y > - 6$ It is the incorrect option because after solving the inequality the answer is $y < - 18$ .

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.

What is the solution of the inequality $- 12 > y + 6$ ?
$y < - 18$
$y < - 6$
$y > - 18$
$y > - 6$

Short Answer

Step by step solution

Step 1. Apply the concept of linear inequality and do some mathematical operations.

Step 2. Find the solution of the inequality.

Step 3. Eliminating the options to get correct one

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

What is the solution of the inequality -12>y+6?y<-18y<-6y>-18y>-6

Short Answer

Step by step solution

Step 1. Apply the concept of linear inequality and do some mathematical operations.

Step 2. Find the solution of the inequality.

Step 3. Eliminating the options to get correct one

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Decision Maths

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

What is the solution of the inequality $- 12 > y + 6$ ?
$y < - 18$
$y < - 6$
$y > - 18$
$y > - 6$