# How do you solve #4t ^ { 2} > 12#?

##### 2 Answers

#### Explanation:

We have the inequality:

**1)** Divide both sides by

**2)** Take the **square root** of both sides:

BUT square roots have **two** solutions - positive or negative. You know that, when we divide by a negative, we **change** the sign of the inequality. So:

The solution is

#### Explanation:

Let's rearrange the inequality

Factorise,

Let

Now build a sign chart

Therefore,

graph{4x^2-12 [-25.65, 25.66, -12.83, 12.84]}