Chapter 6 - Algebra: Equations and Inequalities - 6.4 Linear Inequalities in One Variable - Concept and Vocabulary Check - Page 383: 5

False, the inequality \[x-3>0\]is equivalent to \[x>3\].

Solve the given inequality as follows: \[\begin{align} & x-3>0 \\ & x-3+3>0+3 \\ & x>3 \\ \end{align}\] The given statement is False as the correct statement is, The inequality \[x-3>0\]is equivalent to \[x>3\]. False, the inequality \[x-3>0\]is equivalent to \[x>3\].