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So that is our number line. 10>0 so yes, and 10>6 so yes. So we have two sets of constraints on the set of x's that satisfy these equations. Let's do some compound inequality problems, and these are just inequality problems that have more than one set of constraints. You have this inequality right there. Provide step-by-step explanations.

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The second one is true for all positive numbers. In the last few videos or in the last few problems, we had to find x's that satisfied both of these equations. Explain what inequalities represent and how they are used. X can be 6, 7, 8, 9, finity. Inequalities with absolute values can be solved by thinking about absolute value as a number's distance from 0 on the number line. However, this is wrong. Again, because the numbers -2 and 0 are not included, we place open circles on those points. The notation means that is greater than. X has to be less than 2 and 4/5, and it has to be greater than or equal to negative 1. SOLVED:6 x-9 y>12 Which of the following inequalities is equivalent to the inequality above? A) x-y>2 B) 2 x-3 y>4 C) 3 x-2 y>4 D) 3 y-2 x>2. We solve inequalities the same way we solve equations, except that when we multiply or divide both sides of the inequality by a negative number, we have to do something special to it. Is any number strictly between -5 and 2, the statement. How do you solve inequalities with absolute value bars? Other sets by this creator. Anytime you multiply or divide both sides of the inequality, you must "flip" or change the direction of the inequality sign.

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Ummm... For the first problem, when you were doing the second step. Once again, we conclude that the answer must be between -10 and 10. Grade 8 · 2021-10-01. For a visualization of this inequality, refer to the number line below. Says that the quantity. So 2/3 is going to be right around here, right? The reason for that is fairly simple: Let's say we have the inequality. Inequalities Calculator. Unlimited access to all gallery answers. It doesn't matter if we have constants or variables in our expressions, in all cases, if we multiply or divide by a negative number, we have to flip the sign.

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We have to be greater than or equal to negative 1, so we can be equal to negative 1. First, algebraically isolate the absolute value: Now think: the absolute value of the expression is greater than –3. It is necessary to first isolate the inequality: Now think about the number line. In math, inequality represents the relative size or order of two values. To see why this is so, consider the left side of the inequality. So now when we're saying "or, " an x that would satisfy these are x's that satisfy either of these equations. Could be any value greater than 5, though not 5 itself. Inequalities | Boundless Algebra | | Course Hero. People weighing 160 pounds each. Doubtnut helps with homework, doubts and solutions to all the questions. No: If, then, which is not less than 10. Operations on Inequalities.

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To unlock all benefits! So we know it's the same thing. Solution to: All numbers whose absolute value is less than 10. Obviously, you'll have stuff in between.

Does not change the inequality: - If and, then and. An inequality describes a relationship between two different values. Similarly, consider.

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