CPhill

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 #1
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Let the shorter leg = x    so...the longer leg = x + 2

And we have that

(1/2)(x)(x + 2) ≥ 4   multiply both sides by 2

x(x+2) ≥ 8            simplify

x^2 +2x - 8 ≥ 0      let's just use a graphical method to solve this.....here's the graph...

https://www.desmos.com/calculator/gooq4e4ucf

We must reject any negative values for x and we must also reject any values in the interval [0, 2) because these values make the inequality < 0...thus...the values that solve the inequality are found in the interval [2, ∞ )

 

18.01.2015