The question cannot be answered since it contains no inequality.
It seems there's a part of your question missing regarding the specific inequality involving ( x ). However, if you're referring to a general inequality like ( x > 0 ), the graph would consist of all points on the number line to the right of the origin (0), representing all positive integer solutions: ( 1, 2, 3, \ldots ). If you provide the specific inequality, I can give a more tailored response!
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.
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.
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.
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.
The inequality ( x < 3 ) includes all integer solutions that are less than 3. Therefore, the integer solutions are ( \ldots, -2, -1, 0, 1, 2 ). In interval notation, this can be expressed as ( (-\infty, 3) ) for the integers.
The person or program that solves the equation does.
It seems there's a part of your question missing regarding the specific inequality involving ( x ). However, if you're referring to a general inequality like ( x > 0 ), the graph would consist of all points on the number line to the right of the origin (0), representing all positive integer solutions: ( 1, 2, 3, \ldots ). If you provide the specific inequality, I can give a more tailored response!
To find the integer solutions of the inequality ( x^2 < n ) (where ( n ) is a positive integer), first determine the square root of ( n ). The integer solutions for ( x ) will be all integers satisfying ( -\sqrt{n} < x < \sqrt{n} ). This means you consider all integers from ( -\lfloor \sqrt{n} \rfloor ) to ( \lfloor \sqrt{n} \rfloor ), excluding the endpoints if ( n ) is a perfect square.
Not unless you have an infinite amount of time as there are an infinite amount of numbers that are solutions to an 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.
no only via it is merely possible!
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.
The solutions are (4n - 1)*pi/2 for all integer values of n.
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.
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.
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} ).