Math Problem Statement
2𝑥−7<4𝑥−2
Solution
To solve the inequality:
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First, bring all terms involving to one side of the inequality. Subtract from both sides:
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Next, add to both sides to isolate the term with :
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Finally, divide both sides by to solve for :
So, the solution is:
Would you like more details on any step or have any questions?
Related Questions
- How would you solve ?
- How can inequalities change if you multiply or divide by a negative number?
- What is the solution to ?
- How would you solve a compound inequality like and ?
- Can you graph on a number line?
Tip
When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
Properties of inequalities when adding/subtracting terms
Properties of inequalities when dividing/multiplying both sides by a constant
Theorems
Properties of inequalities
Suitable Grade Level
Grades 8-10