# How do you solve #x^2+5x+6>0#?

##### 2 Answers

#### Explanation:

If you struggle to understand any of the steps I made,

feel free to write a comment :)

**Range satisfying the given condition:**

We can also write the solution using the **interval notation** as:

#### Explanation:

**Given:**

We are given the **inequality**:

Write this inequality as

Consider the quadratic expression

Split the middle term to factorize as shown below:

We want two numbers that **multiply together to make 6**, and **add up to 5**.

**Factor the first two terms and the last two terms** separately:

Observe that **common factor** to both the terms.

Hence, we can write our factors as

We will construct the **sign chart:**

**signs** of

Add

Hence,

Similarly,

**signs** of

We will **summarize** and create a table of values.

Hence,

**Range satisfying the given condition:**

We can also write the solution using the **interval notation** as:

An image of the graph for the inequality is available below:

Hope it helps.