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Find all values of k the value of the fraction 11k−15/3 is greater than the value of the fraction 5−2k/4 .

1 Answer

7 votes

Answer:

k>3/2

Explanation:

To solve this, you need to do fraction cross-multiplying.

So, If a/b=c/d, then a*d=c*b

After you cross-multiply, you get this: (11k-15)*4>3(5-2k)

If you simplify 3(5-2k), you get 15-6k

Then, simplify the next side as well

The full simplified expression should be: 44k-60>15-6k

If you add 60 to both sides, you get 44k>-6k+75

Then add 6k to both sides 50k>75

Then all you have to do is divide both sides by 50 and you get:

K>3/2 OR k>1.5

User Rotemx
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