The given inequalities can be evaluated using the rules of indices and
logarithms.
Correct responses:
2·(5)ˣ > 250 x > 3
Methods used for the evaluation of the inequalities
(1) 2(5)ˣ > 250, gives;
x·㏑5 > ㏑125
x > 3
2·(5)ˣ > 250 x > 3
(2)
x < -2
(3)
x > -3
(4)
6ˣ < 36 = 6²
6ˣ < 6²
x < 2