5x-4>12 or 12x+5<-4

Answer 1

To solve the first inequality, we can add 4 to both sides to isolate the variable:

5x - 4 > 12
5x > 12 + 4
5x > 16
x > 16/5

To solve the second inequality, we can subtract 5 from both sides and then divide both sides by 12 to isolate the variable:

12x + 5 < -4
12x < -4 - 5
12x < -9
x < -9/12
x < -3/4

So, the solution set for the inequalities is x > 16/5 or x < -3/4.