So starting with 3.5x - 10 > -3, add 10 to both sides of that equation:[tex] 3.5x>7 [/tex]
Next, divide both sides by 3.5, and that inequality is [tex] x>2 [/tex]
Next, with 8x - 9 < 39, firstly add 9 to both sides of the equation: [tex] 8x<48 [/tex]
Next, divide both sides by 8 and this inequality is going to be [tex] x<6 [/tex]
In short, your solution set is x > 2 AND x < 6.
