Answer
$(\frac{1}{2}, ∞)$
Work Step by Step
Step 1: Our aim is to solve the inequality $1+5x>5-3x$ in terms of intervals and illustrate the solution set on the real number line.
Step 2: Now, we will solve.
$1+5x>5-3x$
$5x+3x>5-1$
$x>\frac{1}{2}$
Hence, the solution set is $(\frac{1}{2}, ∞)$.
Step 3: The solution set is depicted on the real number as below:
