Respuesta :

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:

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