Question

Question linked in pic. Topic is Polynomial and Rational inequalities.

Answer 1

Given:

`(x+10)(x-6)\leq0`

Required:

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

Step-by-step explanation:

Consider the given inequality,

`(x+10)(x-6)\leq0`

Now,

`\begin{gathered} x+10\leq0 \\ x-6\leq0 \end{gathered}`
`\begin{gathered} -10\leq x \\ x\leq6 \end{gathered}`

OR

`-10\leq x\leq6`

Now the graph of the given inequality is,

In number line,

Final Answer:

The solution of the given inequality is,

`-10\leq x\leq6`