Question

Solve: -6n+5<11 which graph shows th

Answer 1

To solve the inequality -6n + 5 < 11, we can follow these steps:

Step 1: Subtract 5 from both sides of the inequality:

-6n + 5 - 5 < 11 - 5

-6n < 6

Step 2: Divide both sides of the inequality by -6. Since we are dividing by a negative number, we need to reverse the inequality symbol:

-6n / -6 > 6 / -6

n > -1

Therefore, the solution to the inequality is n > -1.

Now, let's plot the graph of the inequality on a number line to represent the solution set.

On the number line, we mark a closed circle at -1 (since n is not equal to -1), and draw an arrow pointing to the right, indicating that the values of n are greater than -1.

The graph would look like this:

-->

-1====================================================>

```

The arrow indicates that the solution set includes all values of n to the right of -1, but does not include -1 itself.

Explanation:

Answer 2

The solution is:

n > -1

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

`\sf{-6n+5 < 11}`

Subtract 5 from each side

`\sf{-6n < 11-5}`

Simplify

`\sf{-6n < 6}`

Divide each side by -6. Be sure to reverse the inequality sign.

`\sf{n > -1}`

Hence, the answer is n > -1.