Question 1184617
1. For all numbers x, x^3 ≥ x
2. For all numbers x, |x + 3| = |x| + 3
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Neither of those is true for all x.

A counter-example for 1 is x = 0.1

x<sup>3</sup> = 0.1<sup>3</sup> = 0.001

But x<sup>3</sup> ≥ x becomes 0.1<sup>3</sup> ≥ 0.1 which is FALSE,
since 0.1<sup>3</sup> = 0.001 < 0.1

A counter-example for 2 is x = -1

|-1 + 3| = |-1| + 3
     |2| =    1 + 3
       2 = 4

Which is FALSE.

Edwin</pre>