154k views
5 votes
O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored form

O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored-example-1
User Italankin
by
7.4k points

1 Answer

6 votes

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:

O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored-example-1
O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored-example-2
O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a quadratic inequality written in factored-example-3
User R Arun
by
6.9k points