Answer
$(23,\infty)$
Work Step by Step
$5(x-6)+2x\gt3(2x-1)-4$
Apply the distributive property.
$5x-30+2x\gt6x-3-4$
Combine like terms.
$7x-30\gt6x-7$
Subtract 6x from both sides.
$7x-30-6x\gt6x-7-6x$
$x-30\gt-7$
Add 30 to each side.
$x-30+30\gt-7+30$
$x\gt23$
This is written in interval notation as
$(23,\infty)$
where ( indicates the solution set for x approaches but does not include 23.
