Question

question 10 (1 point) solve 11x - 5 > 6x + 20.

Explanation:

Step1: Subtract \(6x\) from both sides

To isolate the \(x\) terms on one side, we subtract \(6x\) from both sides of the inequality \(11x - 5>6x + 20\). This gives us \(11x-6x - 5>6x-6x + 20\), which simplifies to \(5x-5>20\).

Step2: Add 5 to both sides

Next, we add 5 to both sides of the inequality \(5x - 5>20\) to isolate the term with \(x\). So, \(5x-5 + 5>20 + 5\), which simplifies to \(5x>25\).

Step3: Divide by 5

Finally, we divide both sides of the inequality \(5x>25\) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So, \(\frac{5x}{5}>\frac{25}{5}\), which simplifies to \(x > 5\).

Answer:

\(x>5\)