Answer
$(-\infty,6]$
Work Step by Step
$14(x-1)-7x\leq2(3x-6)+4$
Apply the distributive property.
$14x-14-7x\leq6x-12+4$
Combine like terms
$7x-14\leq6x-8$
Subtract 6x from both sides.
$7x-14-6x\leq6x-8-6x$
$x-14\leq-8$
Add 14 to each side.
$x-14+14\leq-8+14$
$x\leq6$
This is written in interval notation as
$(-\infty,6]$
where ] indicates that 6 is included in the solution set for x.
