On the Cartesian (x-y) plane, draw two 45-degree lines from the origin
opening to the right. One slopes up, the other slopes down.
|y| < x is the equation of the region between the two 45-degree lines,
but not including points that are on the lines.
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the graph of y = |x| (absolute value of x) looks like a V with the point of the V at the origin. When x is negative (left half of graph), the line y = -x coincides with |x| so this half has a slope of -1. When x is positive (right half of graph), the line y = x coincides with |x| so this half has a slope of +1.
It depents from the value of x.If x>0 then, |x|=xIf x
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
That is how the absolute value is defined. For x < 0 the value of x is negative (by definition). Therefore, the value of negative x is positive (negative of a negative). So abs(x) = -x when x < 0
x=9