Question

select the correct description for each number set.(4 points)a) (25−−√, 9, −−−√64−−√25, 9, 64) b) ( -2.4, 0, 3.1, 81−−√81) c) (−23, 79, π2−23, 79, 𝜋2) d) (12−−√, 11−−√, π12, 11, 𝜋) skip to navigation

Answer 1

I'll simplify each set and give the correct classification.

a) (√25, 9, −√64, 64) → (5, 9, −8, 64). All are whole integers (positive, zero, or negative).
Answer: integers.

b) (−2.4, 0, 3.1, √81) → (−2.4, 0, 3.1, 9). All are terminating decimals or integers → all rational numbers.
Answer: rational numbers.

c) (−23, 79, π/2) → two integers and π/2 (irrational). The set contains both rational and irrational numbers, so it is a set of real numbers (not all rational or all integers).
Answer: real numbers (mixed: contains both rational and irrational).

d) (√12, √11, π/12, 11, π) → contains √12, √11, π/12, π (irrational) and 11 (rational). So this is also a set of real numbers that includes irrationals.
Answer: real numbers (contains irrational numbers).