Math Problem Statement
Solve for x and graph the solution on the number line: 4 >= 2x
Solution
The inequality given in the image is:
Solving for :
- Start by dividing both sides of the inequality by 2 to isolate : Simplifying:
So, the solution is:
Inequality Notation:
Graphing on the Number Line:
- Since , we place a filled circle on 2, indicating that 2 is included in the solution.
- We shade the number line to the left of 2, indicating all values less than or equal to 2 are part of the solution.
Would you like further details on this solution or the graph? Here are some related questions:
- How do you handle inequalities with negative coefficients?
- What happens when dividing both sides of an inequality by a negative number?
- Can you solve a compound inequality and graph it?
- How do you express inequality solutions in interval notation?
- What is the difference between strict inequalities (, ) and inclusive inequalities (, )?
Tip: When solving inequalities, always remember to reverse the inequality sign if you multiply or divide by a negative number.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Number Line Graphing
Formulas
Division of inequality: If a >= bx, then a/b >= x
Theorems
Inequality Rule: Dividing or multiplying both sides of an inequality by a positive number keeps the inequality direction unchanged.
Suitable Grade Level
Grades 6-8