$$|2x-3|=7 $$
If \(a\) and \(b\) are solutions to the equation above, what is the value of \(|a-b|\) ?
\(-2\)
\(3\)
\(5\)
\(7\)
Summary
Submit
Approach
$$|2x-3|=7 $$
\(2x-3=7\)
$$ 2x=10 $$ $$x=5 $$
\(2x-3=-7\)
$$ 2x=-4 $$ $$ x=-2 $$
$$ |a-b| $$ $$ = |5-(-2) | $$ $$ = |7|$$ $$ = \boxed{7} $$