Let Ax x is an integer and x2

Let A={x| x is an integer and x2<16}.

Identify each of the following as true or false.

(a) {0,1,2,3} subset of A       

(b) {-3,-2,-1} Subset of A

(c){} Subset of A

(d) {x| x is an integer and |x|<4}?A

(e)        A subset of {-3,-2,-1,0,1,2,3}

Solution

Let A={x| x is an integer and x2<16}={...,-2,-1.0,1,2,3,...,16}

a)  {0,1,2,3} subset of A is subset of A is true

(b) {-3,-2,-1} Subset of A is true

(c){} Subset of A is true

(d) {x| x is an integer and |x|<4} is not a subset of A

(e)        A subset of {-3,-2,-1,0,1,2,3} is a subset of A