Alicia cashed half of her paycheck and set aside the other half to take her friends out to dinner. She spent \( \$ 42.15 \) on dinner and brought home more than \( \$ 20.00 \). Write an inequality to represent the situation, using \( x \) to represent the amount of Alicia's paycheck.
x > 124.3
Step 1 :x/2 - 42.15 > 20
Step 2 :x/2 > 62.15
Step 3 :x > 124.3