Answer:
[tex]\displaystyle x > 10[/tex]
General Formulas and Concepts:
Algebra I
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \frac{4}{5}x - 2 > \frac{3}{10} 2x[/tex]
Step 2: Solve for x
- Simplify:
[tex]\displaystyle \frac{4}{5}x - 2 > \frac{3}{5}x[/tex] - [Subtraction Property of Equality] Subtract x term on both sides:
[tex]\displaystyle \frac{1}{5}x - 2 > 0[/tex] - [Addition Property of Equality] Add 2 on both sides:
[tex]\displaystyle \frac{1}{5}x > 2[/tex] - [Multiplication Property of Equality] Multiply 5 on both sides:
[tex]\displaystyle x > 10[/tex]
∴ any number x greater than 10 would work as a solution.
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Topic: Algebra I
