Question

6) 2(3-x) - x < 7 + 3x

Answer 1

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Answer 2

To solve the inequality $2(3 - x) - x < 7 + 3x$, you'll need to simplify the expression and isolate the variable $x$. Here's how you can do it step by step:

1. Distribute the 2 on the left side: $2(3 - x) - x < 7 + 3x$ $6 - 2x - x < 7 + 3x$

2. Combine like terms: $6 - 3x < 7 + 3x$

3. Move $3x$ to the left side by subtracting $3x$ from both sides: $6 - 6x < 7$

4. Move 6 to the right side by adding 6 to both sides: $-6x < 1$

5. Divide by -6 (note: when dividing by a negative number, the inequality sign flips): $x > -\frac{1}{6}$

So the solution to the inequality is $x > -\frac{1}{6}$.