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McGraw Hill Glencoe Geometry, 2012 View details

3. Inequalities in One Triangle

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Exercise 61 Page 351

Substitute the given values into the inequality and then simplify.

true

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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.