The common region of the solution of the ineq | vedclass

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

Question

(D) To find the common region,we analyze the given inequations:$1$. $x+y \geq 5$: This represents the region on or above the line $x+y=5$. Since $(0,0

Vedclass · Accepted Answer

bounded and non-origin side

Vedclass · Answer

(D) To find the common region,we analyze the given inequations:$1$. $x+y \geq 5$: This represents the region on or above the line $x+y=5$. Since $(0,0)$ does not satisfy this ($0 \geq 5$ is false),the region is on the non-origin side.$2$. $y \leq 4$: This represents the region on or below the line $y=4$.$3$. $x \geq 2$: This represents the region on or to the right of the line $x=2$.$4$. $x, y \geq 0$: This restricts the region to the first quadrant.By plotting these lines,we observe the shaded region in the figure. The region is bounded by the lines $x=2$,$y=4$,and $x+y=5$. Since the region is enclosed by these lines,it is a bounded region. Furthermore,the origin $(0,0)$ does not lie in the shaded region,so it is on the non-origin side.Therefore,the correct option is $D$.

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

Similar Questions

$A$ triangle is formed by the $X$-axis,$Y$-axis,and the line $3x + 4y = 60$. The number of points $P(a, b)$ which lie strictly inside the triangle,where $a$ is an integer and $b$ is a multiple of $a$,is $...........$

$A$ solution is to be kept between $30^{\circ} C$ and $35^{\circ} C$. What is the range of temperature in degree Fahrenheit,if the conversion formula is $F = \frac{9}{5} C + 32$?

The set of values of $x$ which satisfy $5x + 2 < 3x + 8$ and $\frac{x + 2}{x - 1} < 4$ is

Find all pairs of consecutive even positive integers,both of which are larger than $5$,such that their sum is less than $23$.

The least positive integer $n$ for which $\sqrt{n+1}-\sqrt{n-1} < 0.2$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module