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What else can I help you with?
Why is graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality?
because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.
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.
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.
When graphing inequalities where can solutions be found?
I think that you are asking about the linear inequalities with two variables, so my answer is related to them. First, you have to draw the boundary line (be careful, if your inequality does not contain the equal sign, the boundary line will be a dashed line, because the points on the line are not solutions to the inequality), which divide the coordinate system in two half-planes. Second, you have to test a point on either sides of the line (the best point is the origin, (0, 0), if it is not on the boundary line). If that point satisfies the inequality, then there are all its solutions, otherwise they are to the opposite side.
What is the set of all numbers that make the inequality true?
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
What lists all the integer solutions of the equation x equals 10?
The person or program that solves the equation does.
Is it possible to check all the numbers that are solutions of an inequality?
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an inequality.
Why is graphing the solutions of an inequality is more efficient than listing all the solutions of the inequality?
because writing out all the solutions is not necessarliy a correct answer but a number line is and because graphing out also helps you get a mental image of the concept.
Can you check all the solutions of an inequality by substitution?
no only via it is merely possible!
How many answers can you get in an inequality?
In an inequality, there can be infinitely many solutions, especially if the variable is unrestricted. For example, the inequality (x > 2) includes all real numbers greater than 2, leading to an infinite set of solutions. However, some inequalities may have a finite number of solutions, such as when the variable is restricted to integers. Ultimately, the number of solutions depends on the specific inequality and the domain of the variable involved.
Which is true of the infinite solutions of the inequality X0?
The statement "X0" is unclear, but if you are referring to an inequality such as x > 0 or x ≤ 0, it indicates that there are infinite solutions within the specified range. For instance, if the inequality is x > 0, the solutions include all positive real numbers. These solutions can be represented on a number line or in interval notation, such as (0, ∞) for x > 0.
What are all the solutions to sine theta - 1 in terms of pie?
The solutions are (4n - 1)*pi/2 for all integer values of n.
Which identifies all the integer solutions of x equals 14?
The equation ( x = 14 ) identifies a single integer solution, which is ( x = 14 ) itself. Since the equation specifies that ( x ) is equal to 14, there are no other integer solutions. Therefore, the only integer solution is ( {14} ).
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.
How do solutions differ for an equation and an inequality both algebraically and graphically?
Algebraically, solutions to an equation yield specific values that satisfy the equality, while solutions to an inequality provide a range of values that satisfy the condition (e.g., greater than or less than). Graphically, an equation is represented by a distinct curve or line where points satisfy the equality, whereas an inequality is represented by a shaded region that indicates all points satisfying the inequality, often including a boundary line that can be either solid (for ≤ or ≥) or dashed (for < or >). This distinction highlights the difference in the nature of solutions: precise for equations and broad for inequalities.
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.
Find all integer values of x that make the equation or inequality true x2 equals 9?
that would be limited to 3 and -3 for values of x
