Is the number 0.1111... Repeats forever there for its irrational true or false?

False. The number 0.1111... (which can be expressed as the fraction 1/9) is a repeating decimal and is therefore a rational number. Rational numbers can be expressed as the ratio of two integers, and since 0.1111... can be represented as 1 divided by 9, it is not irrational.