The correct option is i.e., .
Further explanation:
The linear equation of the line is where, is the slope of the line and is the -intercept of the line.
Suppose the line passes through the two points and .
Therefore, the slope of the line can be calculated as follows:
The symbol represents the solution set lies above the dotted line and the symbol represents the solution set below the dotted line.
Given:
The linear inequalities are given as follows:
Calculation:
First we will find the equation of the line.
The line cuts the -axis on the coordinate as shown in the Figure 1 (attached in the end).
Therefore, the -intercept is .
Kindly refer the Figure attached to the question.
From the figure 1 (attached in the end) we can see that the line passes through the points .
The slope of the line can be calculated as follows:
Therefore, the value of is and the value of is .
Substitute for and for in the equation of the line .
Second we will find the equation of the inequality.
The shaded region is shown in Figure 1 above the dotted line .
Therefore, the solution set of the line lie above the dotted line and it will represented by the symbol .
Thus, the inequality satisfies the given graph.
Therefore, the correct option is i.e., .
Learn more:
1. Learn more about the representation of the graph brainly.com/question/2491745
2. Learn more about the graph of the quadratic function brainly.com/question/2334270
3. Learn more about graphed below of the function brainly.com/question/9590016
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear inequalities
Keywords: Linear equations, linear inequality, equation, line, slope, intercept, dotted line , coordinate, shaded region, solutions set, graph, curve.