Question

I need help writing the equations for 15 a, and c

Answer 1

a) We can set the following equation:

`|x-2.5|=0.5.`

Recall that:

`|x|=c\Leftrightarrow x=c\text{ or x=-c.}`

Therefore:

`x-2.5=0.5\text{ or x-2.5=-0.5}\Leftrightarrow\text{ x=3 or x=2.}`

c) We can set the following equation:

`|x-45|=9.`

The solutions of the above equation are:

`x-45=9\text{ or x-45=-9 }\Leftrightarrow\text{ x=54 or x=36.}`