Solve 4x+5<25 and 5x+4>14 write interval notation

Answer 1

Let us first solve the first equation: 4x + 5 < 25 ==> 4x < 25 - 5 = 20 ==> x < (20/4) = 5. Result 1: x < 5

We next solve the second equation: 5x + 4 > 14 ==> 5x > 14 - 4 = 10 ==> x > (10/5) = 2. Result 2: x > 2

We combine Result 1 and Result 2 above to obtain the solution of the system of the two equations,

2 < x < 5 or all value of x in the interval (2, 5)