the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒ .........(1)
Now , According to question we have
⇒
⇒
Comparing this equation to equation (1) we get that :
⇒ or ,
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
First, you take away 6 from both sides, which gives you 4x>-x+35. Then you add x to both sides, which makes it 5x>35. Divide both sides by 5, and you get x>7