A) Since the base of the logarithm is 0.2, we can rewrite the inequality as:
X > (0.2)^(-1)X > 5
B) Similarly, since the base of the logarithm is 0.5, we can rewrite the inequality as:
X < (0.5)^1X < 0.5
C) In this case, lg(x) represents the logarithm with base 10, so we rewrite the inequality as:
X < 10^2X < 100
A) Since the base of the logarithm is 0.2, we can rewrite the inequality as:
X > (0.2)^(-1)
X > 5
B) Similarly, since the base of the logarithm is 0.5, we can rewrite the inequality as:
X < (0.5)^1
X < 0.5
C) In this case, lg(x) represents the logarithm with base 10, so we rewrite the inequality as:
X < 10^2
X < 100