Answer
There is no solution for the inequality.
Work Step by Step
Solve for x.
$7x\lt7(x-2)$
Apply the distributive property.
$7x\lt7x-14$
Subtract 7x from both sides.
$7x-7x=7x-14-7x$
$0=-14$
Since there is no way for this statement to be true, there is no solution for x.