Question

What is absolute valueexample: [2x-3]-7=0 what do I need to do

Answer 1

Given the below

`|2x-3|-7=0`

We solve for x as shown below

`\begin{gathered} |2x-3|-7=0 \\ |2x-3|-7+7=0+7 \\ |2x-3|=7 \end{gathered}`

Let us apply the absolute rule. Absolute rule is as shown below

`|x|=a,a>0,then,x=-a,or,x=a`
`\begin{gathered} So,|2x-3|=7,\text{becomes} \\ 2x-3=7,or,2x-3=-7 \\ 2x-3+3=7+3,or,2x-3+3=-7+3 \\ 2x=10,or,2x=-4 \\ (2x)/(2)=(10)/(2),or,(2x)/(2)=(-4)/(2) \\ x=5,or,x=-2 \end{gathered}`

The absolute value of the given equation in set notation is {-2, 5}