79.8k views
4 votes
What is the solution of the inequality x^2-9x+18 less then or equal to zero? Graph solution.

User Bluewonder
by
8.2k points

1 Answer

5 votes

ANSWER


3\le x\le6

Step-by-step explanation

The given inequality is


{x}^(2) - 9x + 18 \leqslant 0

This is the same as


(x - 3)(x - 6) \leqslant 0

The corresponding equation is


(x - 3)(x - 6)= 0

By the zero product principle,


x = 3 \: or \: x = 6

We now plot the boundaries and test for the region that satisfies the inequality.

See attachment.

From the graph the solution is


3\le x\le6

What is the solution of the inequality x^2-9x+18 less then or equal to zero? Graph-example-1
User Pespantelis
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories