(5√3-4√5)( 2/7 х-1 3/14)≥0

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First, let's simplify the given expression:

(5√3-4√5) = 5√3 - 4√5
(2/7 х- 1 3/14) = (2/7)х - 1 3/14 = (2/7)х - 1/2

Now we can rewrite the given expression:

(5√3 - 4√5)(2/7 х - 1/2)

Using the distributive property, we get:

= (5√3)(2/7 х) - (5√3)(1/2) - (4√5)(2/7 х) + (4√5)(1/2)
= (10/7)√3х - (5/2)√3 - (8/7)√5x + (2)√5
= (10/7)√3х - (5/2)√3 - (8/7)√5x + 2√5

At this point, we need to check for the values of x that make this expression greater than or equal to 0.