# Connexions

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# General Exercises

## General Exercises

1. [IEB, Nov. 2004, HG] The notation xx means the largest integer less than or equal to xx. For example, 3,7=33,7=3 and 5=55=5
1. Show that x=35x=35 is a solution to the equation:
x-x122=10x-x122=10
(1)
2. Find any two other values of xx that satisfy this equation.
1. Sketch the graph of y=xy=x for 0x40x4.
2. [IEB, Nov. 2001, HG] How many digits are there before the decimal point in the number (2,673)90(2,673)90? Explain your answer briefly.

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