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: x - y less than or equal to 2

Q: Solve the following inequality graphically in two-dimensional plane: x - y \leq 2

Answers (1)

best_answer

x - y \leq 2

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

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

Select a point (not on the line x - y =2) 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 1-2\leq 2    i.e. -1\leq 2  , which is true.

Therefore, half plane Ii is not solution region of given inequality i.e. x - y \leq 2.

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 Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14

Latest Question