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In the graph of a linear inequality the shaded region above or below the line is called?
The shaded region above or below the line in the graph of a linear inequality is called the solution region. This region represents all the possible values that satisfy the inequality. Points within the shaded region are solutions to the inequality, while points outside the shaded region are not solutions.
What graph of linear is inequality 6x 2y -10?
The inequality (6x + 2y - 10 > 0) can be rewritten in slope-intercept form as (y > -3x + 5). The boundary line is (y = -3x + 5), which has a slope of -3 and a y-intercept of 5. The region above this line represents the solution set for the inequality. Since the inequality is strict (>), the boundary line itself is not included in the solution.
How do you graph an inequality?
Through signs of inequality Solve each inequality Graph the solution? 2(m-3)+7<21 4(n-2)-6>18 9(x+2)>9(-3)
Which inequality symbols are represented by a solid line on a graph?
The graph of an inequality is a region, not a line.
When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
What part of an inequality graph represents the solution?
The Feasible Region
How will you graph the solution of an inequality?
we should prevent inequality by
Graph the solution set of the linear inequality 5x-2y4?
graph the inequality 5x+2y<4
Choose the graph that correctly represents this inequality. (Click on a graph to enlarge it.)?
y
How do you describe the graph of solution set of a quadratic inequality?
The graph of the solution set of a quadratic inequality typically represents a region in the coordinate plane, where the boundary is formed by the parabola defined by the corresponding quadratic equation. Depending on the inequality (e.g., (y < ax^2 + bx + c) or (y > ax^2 + bx + c)), the solution set will include points either above or below the parabola. The parabola itself may be included in the solution set if the inequality is non-strict (e.g., ( \leq ) or ( \geq )). The regions of the graph where the inequality holds true are shaded or highlighted to indicate the solution set.
What graph correctly represents the inequality y 8?
The inequality ( y < 8 ) is represented by a horizontal line at ( y = 8 ) with a dashed line, indicating that points on the line are not included in the solution. The area below this line represents the solution set, where all points have a ( y )-value less than 8. Therefore, any graph depicting this with the correct shading below the dashed line would accurately represent the inequality.
How would you graph the inequality x 3?
To graph the inequality ( x < 3 ), you would start by drawing a vertical dashed line at ( x = 3 ). The dashed line indicates that points on the line are not included in the solution. Next, shade the region to the left of the line, which represents all values of ( x ) that are less than 3. This shaded area shows the solution set for the inequality.
What graph represents the solution set of this system of inequalities?
To determine the graph that represents the solution set of a system of inequalities, you need to plot each inequality on a coordinate plane. The solution set will be the region where the shaded areas of all inequalities overlap. Typically, the boundaries of the inequalities will be represented by solid lines (for ≤ or ≥) or dashed lines (for < or >). Identifying the correct graph involves checking which regions satisfy all the inequalities simultaneously.
In the graph of a linear inequality the shaded region above or below the line is called?
The shaded region above or below the line in the graph of a linear inequality is called the solution region. This region represents all the possible values that satisfy the inequality. Points within the shaded region are solutions to the inequality, while points outside the shaded region are not solutions.
Which inequality is shown in the graph?
To accurately determine which inequality is shown in the graph, I would need to see the graph itself. However, if the graph displays a shaded region above a line, it typically represents a "greater than" inequality (e.g., y > mx + b), while shading below the line indicates a "less than" inequality (e.g., y < mx + b). Additionally, if the line is solid, it indicates that the points on the line are included in the solution (≥ or ≤), whereas a dashed line indicates they are not (>, <).
What graph of linear is inequality 6x 2y -10?
The inequality (6x + 2y - 10 > 0) can be rewritten in slope-intercept form as (y > -3x + 5). The boundary line is (y = -3x + 5), which has a slope of -3 and a y-intercept of 5. The region above this line represents the solution set for the inequality. Since the inequality is strict (>), the boundary line itself is not included in the solution.
How do you graph an inequality?
Through signs of inequality Solve each inequality Graph the solution? 2(m-3)+7<21 4(n-2)-6>18 9(x+2)>9(-3)
