Subjects algebra

Negative One To Two 270D4D

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Question: now show how -1 creates 2
1. **The problem is:** show how $-1$ creates $2$ in the expression $1-\frac{1}{x}$. 2. **Use the rule for this expression.** We want to see what happens when $x=-1$. So substitute $x=-1$ into $1-\frac{1}{x}$: $$1-\frac{1}{-1}$$ 3. **Simplify step by step.** Since $\frac{1}{-1}=-1$, $$1-(-1)$$ Subtracting a negative becomes addition: $$1+1$$ So the result is $$2$$ 4. **Why this matters.** This shows that when $x=-1$, the expression $1-\frac{1}{x}$ gives $2$. So $-1$ creates $2$ because $$1-\frac{1}{-1}=2$$ **Final answer:** $-1$ creates $2$ since $1-\frac{1}{-1}=2$.