Question

Let R be the set of all numbers $r$ such that $5<r<8.$ Let S be the set of all numbers $s$ such that $3<s<10$. The intersection, T, of R and S is the set of all numbers t such that

• A. $5<t<3$
• B. $5<t<8$
• C. $0<t<8$
• D. $3<t<8$
• E. $8<t<10$

Answer 1

Answer: (B)

$5<t<8$

$R=\{x\in R.:5<r<8\}=(5,8)$

$S=\{x\in R:3<s<10\}=(3,10)$

$T=S\cap R=(5,8)$