2x - 1 ≤ 2(2x + 42x - 1 ≤ 4x + -1 - 8 ≤ 4x - 2-9 ≤ 2x ≥ -4.5
0.6^(2 + 3x) > (5/3)^0.6^2 0.6^(3x) > (5/3)^0.36 0.6^(3x) > (5/3)^0.6^(3x) > (5/3)^x / 0.30.6^(3x) > (5/3)^x / 0.3(2/3)^(3x) > (5/3)^x / 0.3(2/3)^(3x) > (5/3)^x / 0.33x > x log(5/3) - log(0.363x - x > log(5/3) - log(0.362x > log(5/3) - log(0.36x > (log(5/3) - log(0.36))/2
Therefore, the solution to the system of inequalities is x ≥ -4.5 and x > (log(5/3) - log(0.36))/2.
2x - 1 ≤ 2(2x + 4
2x - 1 ≤ 4x +
-1 - 8 ≤ 4x - 2
-9 ≤ 2
x ≥ -4.5
0.6^(2 + 3x) > (5/3)^
0.6^2 0.6^(3x) > (5/3)^
0.36 0.6^(3x) > (5/3)^
0.6^(3x) > (5/3)^x / 0.3
0.6^(3x) > (5/3)^x / 0.3
(2/3)^(3x) > (5/3)^x / 0.3
(2/3)^(3x) > (5/3)^x / 0.3
3x > x log(5/3) - log(0.36
3x - x > log(5/3) - log(0.36
2x > log(5/3) - log(0.36
x > (log(5/3) - log(0.36))/2
Therefore, the solution to the system of inequalities is x ≥ -4.5 and x > (log(5/3) - log(0.36))/2.