Math Problem Statement
1.2 Given the following linear inequality: β π₯ β€ 2 1.2.1 Solve the linear inequality. (2) 1.2.2 Represent your solution on a number line.
Solution
Here is the number line representation of the inequality . The closed dot at indicates inclusion, and the shading to the right represents values greater than .
Do you have any questions or need further clarification?
Related Questions:
- How do we solve inequalities when dividing by a negative number?
- What is the difference between strict () and non-strict () inequalities?
- How can we check if a solution to an inequality is correct?
- What are some real-life applications of inequalities?
- How do we graph compound inequalities on a number line?
Tip: Always remember to flip the inequality sign when multiplying or dividing by a negative number in inequalities!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Inequalities
Number Line Representation
Formulas
Rearranging inequalities: If -x β€ 2, then x β₯ -2 by multiplying both sides by -1 and flipping the inequality sign.
Theorems
Rule of inequalities: When multiplying or dividing by a negative number, the inequality sign must be flipped.
Suitable Grade Level
Grades 6-8