Step 1: Recall the electromagnetic spectrum.
The electromagnetic spectrum arranged in increasing order of frequency is
\[
\text{Radio waves} \lt \text{Microwaves} \lt \text{Infrared} \lt \text{Visible light} \lt \text{Ultraviolet} \lt \text{X-rays} \lt \text{Gamma rays}
\]
Step 2: Compare the given waves.
Among the waves given in the options:
Infrared
has lower frequency than
X-rays
and
Gamma rays
have the highest frequency.
Therefore, the increasing order of frequency is
\[
\text{Infrared} \lt \text{X-rays} \lt \text{Gamma rays}
\]
Step 3: Final conclusion.
Hence, the correct order is
\[
\boxed{\text{Infrared, x-rays, gamma rays}}
\]