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y > 5x - 2 y < 5x + 3 A.(4, 20) B.(-5, 25) C.(5, 28) D.(4, 23)
Each linear equation is a line that divides the coordinate plane into three regions: one "above" the line, one "below" and the line itself. For a linear inequality, the corresponding equality divides the plane into two, with the line itself belonging to one or the other region depending on the nature of the inequality. A system of linear inequalities may define a polygonal region (a simplex) that satisfies ALL the inequalities. This area, if it exists, is called the feasible region and comprises all possible solutions of the linear inequalities. In linear programming, there will be an objective function which will restrict the feasible region to a vertex or an edge of simplex. There may also be a further constraint - integer programming - where the solution must comprise integers. In this case, the feasible region will comprise all the integer grid-ponits with the simplex.
Although there is no graph, the number of solutions is 0.
Infinitely many
There are infinitely many solutions to 11x - 99 = 11(x - 9)
To determine the points that are solutions to the system of inequalities (y \leq 6x + 7) and (y \geq 6x + 9), we need to analyze the area between the two lines represented by these inequalities. The first inequality represents a region below the line (y = 6x + 7), while the second represents the region above the line (y = 6x + 9). Since the two lines are parallel, there are no points that satisfy both inequalities simultaneously; thus, there are no solutions to the system.
y > 5x - 2 y < 5x + 3 A.(4, 20) B.(-5, 25) C.(5, 28) D.(4, 23)
2
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.
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.
Please provide the equations or inequalities you would like me to evaluate, and I will be happy to help determine which are true.
38
For Formula 1. The point system is a score point that contributes to the drivers and constructors championship. Per race a driver can earn from 25 to 1 points. The current point system is 1st : 25 points 2nd : 18 points 3rd : 15 points 4th : 12 points 5th : 10 points 6th : 8 points 7th : 6 points 8th : 4 points 9th : 2 points 10th : 1 point 11th and below get 0 points
below 7
Each linear equation is a line that divides the coordinate plane into three regions: one "above" the line, one "below" and the line itself. For a linear inequality, the corresponding equality divides the plane into two, with the line itself belonging to one or the other region depending on the nature of the inequality. A system of linear inequalities may define a polygonal region (a simplex) that satisfies ALL the inequalities. This area, if it exists, is called the feasible region and comprises all possible solutions of the linear inequalities. In linear programming, there will be an objective function which will restrict the feasible region to a vertex or an edge of simplex. There may also be a further constraint - integer programming - where the solution must comprise integers. In this case, the feasible region will comprise all the integer grid-ponits with the simplex.
Alkaline solutions have a pH higher than 7
Solutions with pH below 7 are called acidic or 'acid'