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Let's solve the inequality \( 2 - x < 7 \).

### Step-by-step solution:

1. Start by isolating \( x \). First, subtract 2 from both sides of the inequality:
   \[
   2 - x - 2 < 7 - 2
   \]
   Simplifying both sides:
   \[
   -x < 5
   \]

2. To solve for \( x \), multiply both sides of the inequality by \( -1 \). **Remember**, when multiplying or dividing by a negative number, the inequality sign reverses:
   \[
   x > -5
   \]

Thus, the solution to the inequality is:
\[
x > -5
\]

Would you like any further details or explanations?

Here are 5 related questions for further practice:
1. What is the solution to the inequality \( 3 - 2x \leq 9 \)?
2. Solve the inequality \( 4x + 7 > 3x - 2 \).
3. How would you solve the inequality \( -3x + 6 \geq 0 \)?
4. What is the difference between solving an inequality and solving an equation?
5. How does multiplying or dividing by a negative number affect an inequality?

**Tip**: When solving inequalities, always remember to reverse the inequality sign when you multiply or divide by a negative number.

Learn how to solve the inequality 2 - x < 7 with a detailed step-by-step solution. This problem covers key algebraic concepts, including the properties of inequalities. Suitable for students in Grades 7-9.

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