Question

O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored form

Answer 1

Given:

Inequality is:

`(x-3)(x+7)\ge0`

Find-:

The solution in the number line

Explanation-:

Solve the given inequality

`\begin{gathered} (x-3)(x+7)\ge0 \\ \\ x-3\ge0\text{ and }x+7\leq0 \\ \\ x\ge3\text{ and }x\leq-7 \end{gathered}`

In number line the value is:

`x\ge3\text{ then number line}`

In number line is:

`x\ge-7`

The overall notion in the number line is: