175k views
2 votes
Solve: -6n+5<11 which graph shows th

2 Answers

5 votes

Answer:

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:

User Amrith Krishna
by
7.4k points
3 votes

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.

User Fxlemire
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories