What Anand Sir said is absolutely correct.
Triple bond is stronger than double, which is stronger than the single bond.
Again, during formation of bonds, triple bond breaks first, double bond breaks second , and single bond breaks last.
To understand this , you should actually imagine a single double and a triple bond.
When 2 electrons come together, it forms a single bond.
When 2 more electrons come together again, a double bond is formed. So, a double bond is a single bond, plus another bond. This second bond is weaker than the first bond...know why? well, the first bond was formed when 2 electrons interacted...right? When 2 more electrons come near the first bond, the electrons repel, so, the second bond formed is weaker than the first bond.
So, A single bond has 1 strong bond.
A double bond has 1 strong single bond, and a weaker second bond.
triple bond has strong single bond, weak second bond and a weaker third bond.
So, a single bond is weakest, as it only has energy of 1 bond. A double dond is stronger, as it has the same single bond, plus an additional energy from weaker second bond.
Now, in saturated and unsaturated compounds, what he said was the double bond breaks faster because it is weaker than single bond. What he actually meant is that, the second bond of the double bond breaks fast , as it is weaker than single bond.
When we say a double bond breaks, we mean that the second weaker bond breaks, and not the entire bond completely.
So, a triple bond breaks first, because, its third bond is weakest. Only the third bond will break, not complete bond. Similarly, only one bond of double bond breaks , not the complete bond.