How does a dielectric increase maximum electric field strength?

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Homework Statement



How does a dielectric increase maximum electric field strength?

From the two cases where a dielectric is inserted into a charged capacitor after it is disconnected and after it is remained connected it seems that E will either decrease or stay the same. But I read in just a few pages later that "The presence of a dielectric increases this maximum electric field strength" and I was confused as it contradicts the two cases of inserting a dielectric in which electric field strength would either decrease or stay the same.
 
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