Question

(Please help!) What is the reason for each step in the solution of the inequality?

28−3(x−2)<5x+10

Answer 1

`28-3(x-2)<5x+10` - given

`28-3x+6<5x+10` - distributive property (we distributed the 3)

`34-3x<5x+10` - sum like terms (we summed 28 and 6)

`34<8x+10` - addition property of order (we summed 3x to both sides)

`24<8x` - subtraction property of order (we subtracted 10 to both sides)

`3<x` - division property of order (we divided both sides by 8)