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.
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.
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.
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.
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.
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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.
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.
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.
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.
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.
There is no inequality in the question!
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In an inequality, "at least" signifies that a certain value must be greater than or equal to a specified number. For example, if an inequality states that ( x \geq 5 ), it means that ( x ) can be any value that is 5 or greater. This term establishes a lower boundary for the values that satisfy the inequality.
To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes "≤" or "≥," while a dashed line indicates "<" or ">". The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.
To determine which ordered pair is not a solution of the inequality (3x - 2y < 12), you would need to substitute the x and y values from each ordered pair into the inequality. If the resulting expression does not satisfy the inequality, then that pair is not a solution. Please provide the ordered pairs you want me to evaluate.
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.
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