Answer: An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).
1. False because a rational is a fraction or part of a number (

).

2. True; a real number is any number that isn't imaginary (

)
3. True; same reason
4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).
5. True;

and that's a decimal.
6. True; the natural number system starts from 0 and counts upwards
7. True; reason above