The region represented by the inequation x-y | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given system of inequalities is:$x - y \leq -1$ $(1)$$x - y \geq 0$ $(2)$$x \geq 0, y \geq 0$ $(3)$From inequality $(1)$,we have $x - y \leq -

Vedclass · Accepted Answer

does not exist

Vedclass · Answer

(C) The given system of inequalities is:$x - y \leq -1$ $(1)$$x - y \geq 0$ $(2)$$x \geq 0, y \geq 0$ $(3)$From inequality $(1)$,we have $x - y \leq -1$,which implies $y \geq x + 1$.From inequality $(2)$,we have $x - y \geq 0$,which implies $y \leq x$.Combining these,we get $x + 1 \leq y \leq x$.This implies $x + 1 \leq x$,which simplifies to $1 \leq 0$.Since $1 \leq 0$ is a false statement,there is no value of $x$ and $y$ that can satisfy both inequalities simultaneously.Therefore,the region represented by these inequalities does not exist.

The region represented by the inequation $x-y \leq -1, x-y \geq 0, x \geq 0, y \geq 0$ is $.....$

Similar Questions

The set of all real values of $x$ satisfying the inequation $\frac{8x^2-14x-9}{3x^2-7x-6} > 2$ is

The solution set contained in $R$ of the inequation $3^x+3^{1-x}-4 < 0$ is:

The set of all real values of $x$ satisfying the inequalities $x^2-4x+3 > 0$ and $x^2-2x-8 \leq 0$ is

Find all pairs of consecutive odd positive integers,both of which are smaller than $18$,such that their sum is more than $20$.

The common region of the solution of the inequations $x+y \geq 5$,$y \leq 4$,$x \geq 2$,$x, y \geq 0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module