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

Given:
Inequality is:
[tex](x-3)(x+7)\ge0[/tex]Find-:
The solution in the number line
Explanation-:
Solve the given inequality
[tex]\begin{gathered} (x-3)(x+7)\ge0 \\ \\ x-3\ge0\text{ and }x+7\leq0 \\ \\ x\ge3\text{ and }x\leq-7 \end{gathered}[/tex]In number line the value is:
[tex]x\ge3\text{ then number line}[/tex]In number line is:
[tex]x\ge-7[/tex]The overall notion in the number line is: