Answer :

Answer:

[tex]y\in [-64,\infty)[/tex] .

Step-by-step explanation:

The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.

[tex]y-64\geq -128[/tex]

Add 64 both sides.

[tex]y-64+64\geq -128+64[/tex]

[tex]y\geq -64[/tex]

It means possible value of y is greater than or equal to -64.

[tex]y\in [-64,\infty)[/tex]

Therefore, the required interval is [tex][-64,\infty)[/tex].