74.3k views
1 vote
The graph below shows the solution to which system of inequalities

The graph below shows the solution to which system of inequalities-example-1

2 Answers

3 votes

Answer: The correct option is A.

Step-by-step explanation:

From the given figure it is noticed that at y = -3 there is dotted line and the it shaded in upward direction.

Since it is a dotted line -3 will not included. It means it will take all value of y which are more than -3.


y>-3 ......(1)

The second line passing through the origin, slope is negative and change in y is same as change in x, therefore the equation of line is y = -x.

The line shaded downwards it means all the point in shaded region will satisfies the inequality.

The point (-5,1) is in shaded region. check this point for the line y=-x


1=-(-5)


1=5

We know that 1 is less than 5 and it is not a dotted line it means the sign of inequality is less than or equal to. so, the equation is,


y\leq x

Therefore, the correct option is A.

The graph below shows the solution to which system of inequalities-example-1
User Shah Nilay
by
7.4k points
4 votes
the answer is
the option A
The graph shows the solution of the system of inequalities
y> -3
y<=-x

using a graph tool
see the attached figure
The graph below shows the solution to which system of inequalities-example-1
User Ela Buwa
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories