1. 5( m + 5 )< 5m+ 17 The first step is to multiply 5 by everything inside the parenthesis 5 x M = 5m and 5 x 5 =25 giving you- 5m + 25 < 5m + 17 Now we need to move the "5m" on the left side to the other side. 5m - 5m = 0 giving you 25 < 17 Now we will set it equal (or less than) to zero To do so you will subtract 25 from both sides giving you 0 < -8 or No Solutions
2. 1 - 8s < -4 (2s - 1 ) The first step is to multiply -4 by everything inside the parenthesis -4 x 2s = -8s and -4 x -1 = 4 giving you 1 - 8s < -8s + 4 No we need to move the -8s to one side Add an 8s to both sides giving you 1 < 4 Set the equation equal to zero Subtract a 1 from both sides giving you 0 < 3 or No Solutions
