Find the area of the region determined by the inequalities \(y \ge |x|\) and \(y \leq -|x+1| + 4.\)
Graphing would be one way to find out which areas are covered by the inequalities.
Graphing is definitely WAY easier than an algebraic method
This shows that we really have the area of a simple region (a rectangle)
One dimension of the rectangle is sqrt [( 1.5^2 + 1.5^2] = 1.5sqrt (2)
And the other is sqrt [ 2.5^2 + 2.5^2] = 2.5sqrt(2)
The area is ( 1.5) (2.5) sqrt (2) * sqrt (2) = 3.75 * 2 = 7