SOLUTION: We have a rectangle and a right-angled triangle. All measurements are in centimeters. The area of the rectangle is greater than the area of the triangle. Find the set of possibl

Question 1150491: We have a rectangle and a right-angled triangle.
All measurements are in centimeters.
The area of the rectangle is greater than the area of the triangle.
Find the set of possible values for x when:
rectangle length: 5x-6
rectangle width: x-1
triangle height: 2x
triangle base: x
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:
rectangle length:
rectangle width:
so, the area of the rectangle is:

triangle height:
triangle base:
so, the area of the triangle is: ->

if the area of the rectangle is greater than the area of the triangle, we have:
.........solve for

.....factor completely

solutions
if =>
if =>=>

the set of possible values for :
all
all -> using first greater number () will not make a statement true; exclude

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