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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

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