Math Problem Statement
Solve the inequality: x - 3 ≤ 9.
Solution
The inequality given in the image is:
To solve for , follow these steps:
- Add 3 to both sides of the inequality to isolate : Simplifying:
Thus, the solution to the inequality is:
Would you like more details on this solution, or do you have any questions?
Here are 5 related questions:
- How would the solution change if it were ?
- How do you solve inequalities involving multiplication or division by a negative number?
- What is the difference between solving equations and inequalities?
- How do you graph the solution on a number line?
- What happens if you reverse the inequality sign when solving?
Tip: Always remember, when multiplying or dividing both sides of an inequality by a negative number, the inequality sign flips!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Inequalities
Formulas
x - 3 ≤ 9
x ≤ 9 + 3
Theorems
Properties of Inequalities
Suitable Grade Level
Grades 6-8