Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Solve the following inequality graphically in two-dimensional plane: y + 8 greter than or equal to 2x

Solve the following inequality graphically in two-dimensional plane:

    Q4.    y + 8 \geq 2x

Answers (1)

best_answer

y + 8 \geq 2x

Graphical representation of  y + 8 = 2x is given in the graph below.

The line y + 8 = 2x  divides plot in two half-planes.

Select a point (not on the line y + 8 = 2x) which lie in one of the half-planes, to determine whether the point satisfies the inequality.

Let there be a  point (1,2)

We observe 

                2+8\geq 2\times 1    i.e. 10\geq 2  , which is true.

Therefore, half plane II is not solution region of given inequality i.e. y + 8 \geq 2x.

Also, the point on the line does satisfy the inequality.

Thus, the solution to this inequality is the half plane I including points on this line, represented by green colour.

This can be represented as follows: 

       

 

 

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Results 2024: Last 9 years’ CBSE Class 10, 12 result date and time; links to check score
anam-khan

CBSE Board exams twice a year from 2025, no plan for semesters: MoE
anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th

Latest Question