book Maths Puzzle Numerical Ability

What do the inequality signs mean?

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Hello!
I really need help understanding polynomials. Could someone help me undestand how to find the LCD and convert the rational expression with the LCD as the denominator? Thi 1.A pendulum swings through an arc of 660 centimeters. On each successive swing, the length of the arc is 6/7 of the previous length. Find th total distance the pendulum travels before it comes to rest.