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1+2(x-1) > -11

$3$ . $1+2(x-1)>-11$

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Solve advanced linear inequalities

Full solution

Q.

3

.

1+2(x-1)>-11

Distribute and Simplify: First, distribute the $2$ into the parentheses: $1+2(x-1) = 1+2x-2$ .
Combine Like Terms: Now, combine like terms: $1 - 2 + 2x = -1 + 2x$ .
Isolate x Term: So the inequality now looks like $-1 + 2x > -11$ .
Add and Simplify: Next, add $1$ to both sides to isolate the term with $x$ : $-1 + 1 + 2x > -11 + 1$ .
Solve for x: This simplifies to $2x > -10$ .
Final Solution: Finally, divide both sides by $2$ to solve for $x$ : $\frac{2x}{2} > \frac{-10}{2}$ .
Final Solution: Finally, divide both sides by $2$ to solve for $x$ : $\frac{2x}{2} > \frac{-10}{2}$ .This gives us $x > -5$ .

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