Home
Class 12
MATHS
Sketch the origin in which the points sa...

Sketch the origin in which the points satisfying the following inequality lie.
`(i)2x-3y-5 gt 0 " (ii) " -3x+4y+7 gt 0`
`(iii)x gt 2 " (iv) " y gt -3`

Text Solution

AI Generated Solution

To solve the problem of sketching the regions defined by the inequalities, we will analyze each inequality step by step. ### Step 1: Analyze the first inequality \(2x - 3y - 5 > 0\) 1. **Convert to equality**: First, we convert the inequality into an equation: \[ 2x - 3y - 5 = 0 \] ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXAMPLE|12 Videos
  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos
  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos
  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Sketch the origin in which the points satisfying the following inequalities lie. (i) |x+y| lt 2 " (ii) " |2x-y| gt 3 " (iii) "|x| gt|y|

2x - 3y gt 6

Sketch the regions satisfying the following inequalities: (a) x gt 2 (b) |y| ge 1

Solve the linear inequalities 2x - y gt 1 , x - 2y lt 1

Find the smallest integral x satisfying the inequality (x-5)/(x^(2) + 5x -14) gt 0 .

The ordered pairs (3,-1) satisfies which of the following inequalities? I. x+3y gt0 II. 2x+3y gt2 III. x+y lt 0

Solve the following inequalities: (x^(2)-3x-18)/(13x-x^(2)-42)gt0

Plot the region of the points P(x,y) satisfying 2 gt max. {|x|, |y|}.

The true solution set of inequality log_((2x-3))(3x-4) gt 0 is equal to :

Represent the solution of each of the following inequalities on the real number line : 2 - 3x gt 7 - 5x