Answer
$(-13,\infty)$
Work Step by Step
$3(x-5)\lt2(2x-1)$
Solve for x. Use the distributive property of multiplication to simplify.
$3x-15\lt4x-2$
Subtract 3x from each side then add 2 to each side.
$3x-15-3x\lt4x-2-3x$
$-15\lt x-2$
$-15+2\lt x-2+2$
$-13\lt x$
Restate.
$x\gt-13$
In interval notation this is written as
$(-13,\infty)$
where ( indicates that the solution set for x approaches, but does not include, -13.
