The inequality given is:

\[
-6 > -x + 3
\]

To solve for \(x\), follow these steps:

1. Subtract 3 from both sides to isolate the term involving \(x\) on the right-hand side:
   \[
   -6 - 3 > -x
   \]
   This simplifies to:
   \[
   -9 > -x
   \]

2. Now, to solve for \(x\), multiply both sides of the inequality by \(-1\). **Remember** that when multiplying or dividing both sides of an inequality by a negative number, you must reverse the inequality sign

Learn how to solve the linear inequality −6 > −x + 3 step-by-step. This problem involves key algebraic concepts such as isolating variables, manipulating inequalities, and understanding the properties of inequalities. Suitable for students in Grades 6-8.

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