## Can An Inequality Have No Solution? (3 Things To Know)

We're told to solve for y, and we have this inequality that says that the absolute value of y plus 22 is less than or equal to 13 and 1/2 or 13.5. So a good place to start is maybe to just isolate the absolute

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## Solving Inequalities with Unique Solutions (No

So very similarly we can subtract one from both sides to get rid of that one on the left-hand side. And we get 4x, the ones cancel out. is greater than 25 minus one is 24. Divide both sides by positive 4 Don't have to do anything to the inequality

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## What Does It Mean When an Inequality is a Contradiction or

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## Absolute Value Inequalities

Example 1: Quadratic Inequality With No Real Solution Consider the quadratic inequality x2 inequality has no solution, and we can see this in several ways. The first way is by reasoning about the signs (positive or negative). Remember that x 2 is always nonnegative for real x (that is, x 2 >= 0).

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## Solving Inequalities with No Solution or All Real Numbers

The inequality B has no solution case C) Eliminate the parenthesis of the left side Group terms that contain the same variable, and move the constants to the opposite side of

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## Inequalities with No Solution or Infinite Solutions

If we convert the inequality to interval notation form in exactly the usual way, we should obtain an interval notation that represents no values, i.e. the empty set, [math]\emptyset [/math]. Letâ€™s try