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To determine if all values of a variable satisfy an inequality, you need to analyze the inequality itself. If it is always true (for instance, a statement like (x + 2 > x + 1) is always true), then all values of the variable satisfy it. However, if specific conditions or limits on the variable exist (like (x > 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.
What else can I help you with?
What are 3 solutions for inequality for y9?
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.
What does solution of an inequality mean in math?
In mathematics, the solution of an inequality refers to the set of values that satisfy the inequality condition. For example, in the inequality (x > 3), any number greater than 3 is considered a solution. These solutions can often be represented on a number line or in interval notation, illustrating all possible values that fulfill the inequality. Essentially, it identifies the range of values for which the inequality holds true.
What are Solution of an inequality?
The solution of an inequality is a set of values that satisfy the inequality condition. For example, in the inequality ( x > 3 ), the solution includes all numbers greater than 3, such as 4, 5, or any number approaching infinity. Solutions can be expressed as intervals, such as ( (3, \infty) ), or as a number line representation. These solutions help identify the range of values that make the inequality true.
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 we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
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 is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
When we plot all the points that satisfy an equation or inequality we it?
graph
When we plot all the points that satisfy an equation or inequality we?
graph
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
What are the characteristics of the graph of the inequality x 4.5?
The graph of the inequality ( x < 4.5 ) is a vertical line drawn at ( x = 4.5 ), with a dashed line indicating that the line itself is not included in the solution set. The region to the left of this line represents all the values of ( x ) that satisfy the inequality. Therefore, the area shaded will extend infinitely to the left, indicating that all ( x ) values less than 4.5 are solutions.
What is the image obtained by plotting all points that satisfy an equation or inequality?
graph
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 values from the set 12345 make the inequality true n 26?
To determine which values from the set {1, 2, 3, 4, 5} make the inequality n < 26 true, we need to find all numbers in the set that are less than 26. In this case, the values that satisfy the inequality are 1, 2, 3, 4, and 5. Therefore, the values from the set {1, 2, 3, 4, 5} that make the inequality n < 26 true are 1, 2, 3, 4, and 5.
What does it mean to describe all of the numbers that satisfy both inequalities?
I assume you have inequalities that involve variables. If you replace the variable by some number, you will get an inequality that is either true or false. A value for the variable that results in a true statement is said to "satisfy" the inequality. For example, in: x + 3 > 10 If you replace x by 8, you get a true statement, since 11 is greater than 10; if you replace x by 7, you get a false statement, since 10 is not greater than 10. In this case, there are two inequalities; you have to find all numbers that satisfy both inequalities; in other words, that convert both inequalities into true statements.
What does solving a system of equations actually mean?
That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.
How can you tell if a table of values represents a function?
If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.If all the values of the "independent" variable (x) are different then it is a function.If there are any repeats of the independent variable, the corresponding dependent variable, y, must be the same.
