TMUA Specimen · Paper 2 · Question 15

For any real numbers $a, b,$ and $c$ where $a \geq b$ , consider these three statements:

1 $- b \geq - a$

2 $a^{2} + b^{2} \geq 2 ab$

3 $a c \geq b c$

Which of the statements 1, 2, and 3 must be true?