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To solve the inequality (8x^2 - x < 0), we first factor it as (x(8x - 1) < 0). The critical points are (x = 0) and (x = \frac{1}{8}). Analyzing the sign of the product in the intervals determined by these points, we find that the inequality holds for (0 < x < \frac{1}{8}). Since there are no integer values of (x) in this interval, the number of different integer values of (x) that satisfy the inequality is zero.

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How do you determine which constraints are binding?

The values of the variables will satisfy the equality (rather than the inequality) form of the constraint - provided you are not dealing with integer programming.


Which values satisfy the inequality?

To determine which values satisfy a given inequality, you'll need to analyze the inequality itself. Start by isolating the variable on one side, if necessary. Then, test values within the solution interval or use a sign chart to identify the ranges that meet the inequality's condition. If you provide the specific inequality, I can help identify the exact values that satisfy it.


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 &gt; 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 &gt; 5)), then only those values that meet the conditions are valid solutions. Thus, the answer depends on the specific inequality in question.


Why do the values of n will the product 3n be less than 50?

To find the values of ( n ) for which the product ( 3n ) is less than 50, we can set up the inequality ( 3n &lt; 50 ). Dividing both sides by 3 gives ( n &lt; \frac{50}{3} ), which simplifies to ( n &lt; 16.67 ). Therefore, the integer values of ( n ) that satisfy this inequality are ( n = 0, 1, 2, \ldots, 16 ).


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

How do you determine which constraints are binding?

The values of the variables will satisfy the equality (rather than the inequality) form of the constraint - provided you are not dealing with integer programming.


Why do the values of n will the product 3n be less than 50?

To find the values of ( n ) for which the product ( 3n ) is less than 50, we can set up the inequality ( 3n &lt; 50 ). Dividing both sides by 3 gives ( n &lt; \frac{50}{3} ), which simplifies to ( n &lt; 16.67 ). Therefore, the integer values of ( n ) that satisfy this inequality are ( n = 0, 1, 2, \ldots, 16 ).


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.


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


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.


A quantity that can be equal to any integer and can take any different integer values is known as?

Integer variables


What is the different between equation and inequality?

An equation is a mathematical that asserts theequality of two expressions. An inequality is a relation that holds between two values when they are different.


How many different values can 128 bits represent?

A 128-bit register can store 2 128th (over 3.40 × 10 38th) different values. The range of integer values that can be stored in 128 bits depends on the integer representation used.


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 &lt; 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 &lt; 26 true are 1, 2, 3, 4, and 5.


What is a value or values that make an inequality true?

a solution of inequality


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 many different combinations of x-values and y-values could satisfy the equation - x plus y equals 5?

10.