Math Problem Statement
Consider the inequality 2<-4+x
Solution
To solve the inequality , we need to isolate .
Steps:
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Add 4 to both sides to eliminate the on the right:
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Simplify: or equivalently,
Final answer:
The solution to the inequality is .
Would you like more details or have any questions?
Here are 5 related questions to explore further:
- How do you solve inequalities involving multiplication or division?
- What happens if the inequality sign is flipped?
- Can you graph the solution on a number line?
- How do you solve compound inequalities?
- What are the rules for solving inequalities with absolute values?
Tip: When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
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Theorems
Addition property of inequality
Transitive property of inequality
Suitable Grade Level
Grades 6-8