what is the answer to an inequality called?
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An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
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The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).
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The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).
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Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠. reads as '7 is greater than ' (or ' is less than 7', reading from right to left).
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If any number is a solution to an equation or inequality, as in x² ≥ 0, then we write ℝ in set notation (“all real numbers”) or (−∞, ∞) in interval notation. If no number is a solution, as in x² = −5, then we write ∅ in either notation.
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Graphing inequalities on either a number line or in the coordinate plane (with x and y axes) helps to visually represent several forms of inequalities: The graph of a linear inequality produces a region on the coordinate plane with a boundary line. Every point in that region is a solution of the inequality.
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When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". The solution set for this problem will be all values that satisfy both -3 < x and x < 4.
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I assume you're asking about the difference in meaning rather than in the way these are written down, so here's my take on this. In my opinion, the only difference here is that inequality is a condition on the values involved, while the interval notation is more of a description.
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When you are graphing inequalities, you will graph the ordinary linear functions just like we done before. The difference is that the solution to the inequality is not the drawn line but the area of the coordinate plane that satisfies the inequality. The boundary line is dashed for > and < and solid for ≥ and ≤.
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The PEMDAS version of solving it gets the answer 16. But those who use a different method called BODAS — brackets, orders, division, multiplication, addition and then subtraction — get an answer of 1. For anyone who didn't get 16 or 1 as an answer, well, it's probably time to brush up on your math skills.
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Answer and Explanation: The answer to a multiplication problem is called the product. A product is the result of numbers, known as factors, being multiplied together, such as...
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Solving the equation consists of determining which values of the variables make the equality true. The value(s) of the variable(s) (or unknown(s)) which satisfy the equality is/are called the solution(s) of the equation. for e.g. A model is a description of a system using mathematical concepts and language.
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A one-sided bound defines the point where a certain percentage of the population is either higher or lower than the defined point. This means that there are two types of one-sided bounds: upper and lower. An upper one-sided bound defines a point that a certain percentage of the population is less than.
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Assuming the question is asking (√x)2 or √(x2) , which is then simplified to x , the answer is 1 .
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The result of a subtraction is called a difference. Subtraction is signified by the minus sign, −.
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There is another method, called the test point method, that can be used instead of the sign graph to solve inequalities. The following example shows how to solve a quadratic inequality that involves a prime polynomial. Solve x2 - 4x - 6 > 0 and graph the solution set.
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The inequalities we have solved so far all have an infinite number of solutions, at least in theory. For example, the inequality has the solution x > -3. This solution says that all real numbers greater than -3 make this inequality true, and there are infinitely many such numbers.