Math Problem Statement
Solve for xx and graph the solution on the number line below. minus, 24, is less than or equal to, minus, 3, x, minus, 3, or, minus, 39, is greater than, minus, 3, x, minus, 3 −24≤−3x−3or −39>−3x−3
Solution
The graph above shows the solution to the inequality. As you can see:
- The region to the left of 7 (with a closed circle) represents .
- The region to the right of 12 (with an open circle) represents .
Would you like any further details or clarifications?
Here are 5 related questions for practice:
- Solve the inequality .
- Graph the solution to on a number line.
- What happens to an inequality when both sides are multiplied by a negative number?
- How would the solution change if the inequality was instead of ?
- Solve .
Tip: When solving inequalities, remember to reverse the inequality sign if you multiply or divide both sides by a negative number.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Linear Equations
Graphing on Number Line
Formulas
Inequality solving process: ax + b ≤ c
Reversing the inequality when multiplying/dividing by a negative number
Theorems
Properties of Inequalities
Transposition and solving of linear inequalities
Suitable Grade Level
Grades 8-10
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