Find all the values of x that satisfy the inequality 5- x-1 < -3x + 2.
2
I suppose you mean "Find all the values of x that satisfy the inequality 5-(x-1) =< -3x+2" (were =< means "less or equal")
We then have
$\displaystyle \newline 5-(x-1) \leqslant -3x+2 \newline 5-x+1 \leqslant -3x+2 \newline x \leqslant -2 $
Or if you mean
$\displaystyle \newline 5-\frac{x-1}{2} \leqslant -3x+2 \newline \newline 10-(x-1) \leqslant -6x+4 \newline \newline 10-x+1 \leqslant -6x+4 \newline \newline 5x \leqslant -7 \newline \newline x \leqslant \frac{-7}{5}$