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The values or set of values that makes an inequality or equation true are the?
The values or set of values that make an inequality or equation true are called solutions or roots. In the case of equations, these values satisfy the equation when substituted into it, while for inequalities, they make the inequality hold true. Finding these solutions is a fundamental aspect of algebra and helps in understanding the relationships between variables.
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.
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 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.
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.
Find the possible values of r in the inequality 5r-3?
Find the possible values of r in the inequality 5 > r - 3.Answer: r < 8
How do tell the solution of an inequality?
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
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.
How do I create and inequality using absolute values with two variables?
x>|7| + |8|
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.
Is all values of the variable that satisfy the inequality?
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.
Which values are solutions to the inequality x2 equals 16?
x2 = 16take the root square for both sides the result will be :X = +4 or -4
Which values are solutions to the inequality x2 is more than or equal to 11?
x ≤ -sqrt(11) or x ≥ sqrt(11)
How many solutions does an inequality have?
2
What is a value or values that make an inequality true?
a solution of inequality
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.
What are at least five inequality solutions to x-3?
x - 3 is not an inequality.
