To solve this inequality, we need to use the properties of logarithms.
First, we can simplify the given inequality:
lgx + 2lg2 < 0.5lg49 - lg5
Since lg2 = 1, we can simplify further:
lgx + 2 < 0.5(2) - 1
lgx + 2 < 1 - 1
lgx + 2 < 0
Subtracting 2 from both sides:
lgx < -2
Now we can rewrite this inequality in exponential form:
x < 10^(-2)
So the solution to the inequality is x < 0.01.
To solve this inequality, we need to use the properties of logarithms.
First, we can simplify the given inequality:
lgx + 2lg2 < 0.5lg49 - lg5
Since lg2 = 1, we can simplify further:
lgx + 2 < 0.5(2) - 1
lgx + 2 < 1 - 1
lgx + 2 < 0
Subtracting 2 from both sides:
lgx < -2
Now we can rewrite this inequality in exponential form:
x < 10^(-2)
So the solution to the inequality is x < 0.01.