If you plot the above two equations on a graph, they will both be straight lines that intersect the origin. How do you solve absolute-value equations and inequalites?

This type of equation will be true if either. Well, how would I do that? This is solution for equation 1. Plug these values into both equations.

Draw the graph of the equation. In the complex plane, the absolute value is typically called its magnitude. The absolute value of a number is the positive or non-negative value of the number.

On a number line: The coefficient of variation should be computed only for data measured on a ratio scale, as the coefficient of variation may not have any meaning for data on an interval scale.

An absolute value equation is an equation with an absolute value. You can now drop the absolute value brackets from the original equation and write instead: So this thing right over here is definitely going to be greater than or equal to 0.

It is always a positive value. For real numbers, it can be said that the absolute value is the distance of the number away from zero.

Equation 2 is the correct one. Same way, you have 4 of this expression, you take away 6 of this expression, you now have negative 2 of this expression. How can an absolute value inequality have no solution?

Check your answer by substituting 8 and -8 in for x. So this right over here has absolutely no solution. This problem has no solution, because the translation is nonsensical. Now, this gets us to a very interesting situation.

Is it possible for a quadratic equation to have no real solution? And likewise, I want to get all my constant terms, I want to get this 4 out of the left-hand side.

Remember, this might seem a little confusing, but remember, if you had 4 apples and you subtract 6 apples, you now have negative 2 apples, I guess you owe someone the apples.The absolute value of a number is its distance away from zero. That number will always be positive, as you cannot be negative two feet away from something.

So any absolute value equation set equal to a negative number is no solution, regardless of what that number is. |x|!=-y I hope that this was helpful. When is there no solution possible to an absolute value equation and why?

Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution. No, we can actually have any value for x, Writing Equations with Inequalities: Solving Equations with Infinite Solutions or No Solutions Related Study Materials.

Absolute value equations have two solutions. Plug in known values to determine which solution is correct, then rewrite the equation without absolute value brackets. Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site.

Can an absolute value equation ever have and infinite amount of solutions? Algebra Linear Inequalities and Absolute Value Absolute Value Equations 1 Answer.

DownloadWrite an absolute value equation that has no solution infinite

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