Variables $x$ and $y$ are provided as $x=[0,-2,5\mathrm{.}5,0,-1,2],y=[0,-2,8,1,-1\mathrm{.}0,0].$ Write the results

$($logical true or false$)$ of the following $4$ logical sentences without using MALAB. Explain how you

determine the answer.

a$.z=x$ and $y$

b$.z=x$ or $y$

c$.z=x$ and $y$ or $($ notx

c$.$ is smaller or equal to $0)$ and $(y$ is larger than $0)$

d$.$ is smaller than $y)$ or $(x$ is equal to $y)$

Check the logical answer of prob$\mathrm{.}3$ by using MATLAB. Show the MATLAB logical expression and

answer. Compare the results between prob $3$ and $4.$

NOTE: If they are different, either one of the results is incorrect. Check it well!