Answer: Division property of Inequality.
Step-by-step explanation:
For this case we know that:
- According to the Addition property of Inequality:
If [tex]a>b[/tex], then [tex]a+c>b+c[/tex]
- Based on the Subtraction property of Inequality:
If [tex]a>b[/tex], then [tex]a-c>b-c[/tex]
- Based on the Multiplication property of Inequality:
If [tex]a>b[/tex], then [tex]a*c>b*c[/tex] (If [tex]c>0[/tex])
- According to the Division property of Inequality:
If [tex]a>b[/tex], then [tex]\frac{a}{c}>\frac{b}{c}[/tex] (If [tex]c>0[/tex])
Knowing these properties, we can identify the property that justifies the work between Step 3 and Step 4. This is:
"Division property of Inequality"
Because he divided both sides of the inequality by 2:
[tex]2x > 10\\\\\frac{2x}{2}>\frac{10}{2}\\\\x>5[/tex]
