In order to find the solution of the given compound inequality, solve each inequality for x, as follow:
4x - 5 < -1 add 5 both sides
4x < -1 + 5
4x < 4 divide by 4 both sides
x < 4/4
x < 1
2x - 3 ≥ -9 add 3 both sides
2x ≥ -9 + 3
2x ≥ -6 divide by 2 both sides
x ≥ -6/2
x ≥ -3
Hence, the interval solution of the compound inequality is [-3 , 1)
The solution on the number line is shown below:
