Chapter 3.8, Problem 1STP

Solve each exercise and enter your answer on the grid provided.

Let $A=\{1,3,5\}$ and $B=\{x\mid x\text{ is an integer less than }2\}.$

Find $A\cap B$.

To determine

To find: $A\cap B$

Answer to Problem 1STP

  $A\cap B=\left\{1\right\}$

Explanation of Solution

Given information: A = {1, 3, 5}, B $=$ { x | x is an integer less than 7}

Calculation:The intersection of two sets contains those elements which belong to all thetwo sets.

A = {1, 3, 5}

B $=$ { x | x is an integer less than 7}

Then, B $=\{\mathrm{...},-1,0,1\}$

  $\therefore A\cap B=\left\{1\right\}$