Question

a>=b implies and is implied by -a<=-b is an absolute inequality.
Is the statement true or false? Justify your answer.

Answer 1

That is True. The original expression means that the number a is located not to the left of the number b on the number line. Then, by multiplying both sides of the inequality by -1, the original points will be reversed with respect to zero. Thus, when the numbers are reversed, the number b, if it did not coincide with the number a, becomes more to the right of it, or if the numbers were equal initially, then the equal sign will remain