|X| < y where y is non-negative, is equivalent to -X > -y and X < y.
One way to think about it is that the distance of X from the origin - irrespective of direction - is less than y.
x>|7| + |8|
What's your question? To solve an absolute value inequality, knowledge of absolute values and solving inequalities are necessary. Absolute value inequalities can have one or two variables.
The slope-intercept inequality is an equation of the form y < mx + c. The inequality can be reversed, and in both cases can be strict or not. In all cases the equality divides the Cartesian plane into two and the inequality determines which side of the straight line is the valid region, and whether or not the line itself should be included.
There are many possible answers but the simplest is |x + 2| = 8
The absolute value of the sum of two complex numbers is less than or equal to the sum of their absolute values.
== == Inequality improves two quantities.
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
an inequality
An inequality is a relationship between two quantities that are not the same.
A bivariate linear inequality.
No. An inequality will show two expressions that aren't equal.
This isn't an inequality, but a mathematical "expression". In order to have an inequality that can be solved, there must be an inequality symbol between two mathematical expressions. Nancy