answersLogoWhite

0

An inequality has a limited range of solutions when it restricts the values of the variable to a specific interval or set of points. For example, inequalities like ( x < 5 ) or ( 2 < x \leq 7 ) define boundaries that limit the possible values of ( x ). Additionally, inequalities that involve absolute values, such as ( |x - 3| < 2 ), also result in a limited range, as they constrain the variable to fall within a specific distance from a point.

User Avatar

AnswerBot

1w ago

What else can I help you with?

Continue Learning about Math & Arithmetic

Which is true of the infinite solutions of the inequality X0?

The statement &quot;X0&quot; is unclear, but if you are referring to an inequality such as x &gt; 0 or x ≤ 0, it indicates that there are infinite solutions within the specified range. For instance, if the inequality is x &gt; 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 &gt; 0.


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 &gt; 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.


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.


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 &lt; or &gt;). This distinction highlights the difference in the nature of solutions: precise for equations and broad for inequalities.


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 &gt; 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.

Related Questions

Which is true of the infinite solutions of the inequality X0?

The statement &quot;X0&quot; is unclear, but if you are referring to an inequality such as x &gt; 0 or x ≤ 0, it indicates that there are infinite solutions within the specified range. For instance, if the inequality is x &gt; 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 &gt; 0.


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 &gt; 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 many solutions does an inequality have?

2


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.


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 &lt; or &gt;). This distinction highlights the difference in the nature of solutions: precise for equations and broad for inequalities.


Why does 14.8 have 2 solutions?

It does not have any solutions! 14.8 is a number, not an equation, inequality or question and so has no solutions.


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 &gt; 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.


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 &gt; 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.


What are the solutions to the inequality mc003-1.jpg?

4


Which lists all the integer solutions of the inequality of 3?

The question cannot be answered since it contains no inequality.


Does an open sentence have to be an equation?

No, it can be an inequality, such as x+5&gt;2. An inequality usually has (infinitely) many solutions.