Exercise 61 Page 351

We can determine whether the given statement is true or false for x= 8, y= 2, and z= 3 by substituting the given values into the inequality and simplifying using the order of operations.

x+y\stackrel{?}> z+y

SubstituteValues

Substitute values

{\color{#0000FF}{8}}+{\color{#009600}{2}}\stackrel{?}> {\color{#A800DD}{3}}+{\color{#009600}{2}}

AddTerms

Add terms

10>5 ✓

Therefore, the statement is true for x=8, y=2, and z=3.