Answer
$(1/2, ∞)$

Work Step by Step
Solve the inequality $1+5x>5-3x$ in terms of intervals and illustrate the solution set on the real number line.
$1+5x>5-3x$
$5x+3x>5-1$
$x>1/2$
Hence, the solution set is $(1/2, ∞)$.
The solution set is depicted on the real number line below:
