Principle of Analysis

Natural Numbers is a set of nonnegative real numbers.

• True
• False

In addition property of equality, order of equality does not matter.

• True
• False

Additive identity and multiplicative identity are unique.

• True
• False

In ordered field x ≤ x is possible.

• True

• False

For all 𝑥, 𝑦 and 𝑧, if 𝑦 < 𝑧 and 𝑥 > 0 then 𝑥𝑦 < 𝑥𝑧

• True

• False

if F is an ordered field and x and y are elements of F such that x < y, then -y > -x.

• True

• False

• True

• False

All functions are relations.

• True

• False

Any subset of a bounded set is always a bounded set.

• True

• False

The range of y=x³ is a set of positive real numbers.

• True

• False