Question

(2x+1)/5 - (x+3)/2. < 4x+10

Answer 1

(2x+1)/5 - (x+3)/2 < 4x+10

multiply by a common denominator to get:
2(2x+1) - 5(x+3) < 10(4x+10)
distribute:
4x+2 - (5x+15) < 40x + 100
distribute the negative:
4x + 2 - 5x -15 < 40x + 100
combine like terms:
-x - 13 < 40x + 100
add 13 to both sides:
-x < 40x + 113
subtract 40x from both sides:
-41x < 113
divide by -41
x > -113/41