Hi everyone,

my maths books is usually very reliable and I am always inclined to doubt myself rather than it. So, I am just checking....

if $(x - a)^2 \geq b^2$ where a and b are constants

then $(x - a) \geq \pm b$

so I would say $x - a \geq b$ or $x - a \geq -b$ i.e. $x \geq a + b $ or $x \geq a - b$

but my maths book says $x - a \leq -b$ or $x - a \geq b$ i.e. $x \leq a - b$ or $x \geq a + b$

please tell me the book is wrong!