Question

Solve for a: │a – 6│=10

Answer 1

`\huge\boxed{a=-4\ \vee\ a=16}`

Explanation:

`|a|=b\iff a=b\ \vee\ a=-b\\\\=======================\\\\|a-6|=10\iff a-6=10\ \vee\ a-6=-10\\\\\text{add 6 to both sides of the equations}\\\\a-6+6=10+6\ \vee\ a-6+6=-10+6\\\\a=16\ \vee\ a=-4`