Respuesta :

Given:

[tex](x+10)(x-6)\leq0[/tex]

Required:

To solve the given inequality and draw the graph of given inequality.

Explanation:

Consider the given inequality,

[tex](x+10)(x-6)\leq0[/tex]

Now,

[tex]\begin{gathered} x+10\leq0 \\ x-6\leq0 \end{gathered}[/tex][tex]\begin{gathered} -10\leq x \\ x\leq6 \end{gathered}[/tex]

OR

[tex]-10\leq x\leq6[/tex]

Now the graph of the given inequality is,

In number line,

Final Answer:

The solution of the given inequality is,

[tex]-10\leq x\leq6[/tex]

Ver imagen EssenceW85281
Ver imagen EssenceW85281