# How do you solve and write the following in interval notation: #|1 + 5x| ≤ 11#?

##### 3 Answers

**Solution:**

#### Explanation:

or

The solution is

#### Explanation:

The equation is

When

Let's build a sign chart

Therefore,

and

The solution is

graph{|1+5x|-11 [-16.09, 15.95, -12.05, 3.97]}

Solution to

**Interval Notation:**

#### Explanation:

Given the inequality:

There are two possible cases:

**Case 1:**

**Case 2:**

**Case 1:**

Subtract

Divide both sides of the inequality by

**Solution 1**

**Case 2:**

Subtract

Divide both sides of the inequality by

**Solution 2**

Combine both the solutions: **Solution 1** and **Solution 2**

You can also rewrite the combined solution as:

In **Interval Notation: **

Graph the inequality to verify our solution:

Hope it helps.