Question

Use the inequality x2−8x+6≤0 and graphing calculator, or another piece of technology, to answer Part A and Part B. Part A: What are the zeros of the inequality to the nearest hundredth? Part B: What is the solution set for the inequality? Select all possible answers for Part A and one answer for Part B.

Answer 1

Part A) The zero's of the function are
`x=0.84, x=7.16`

Part B) The solution set is the interval
`[0.84,7.16]`

Explanation:

we have

`x^2-8x+6\le0`

Using a graphing calculator

Part A) What are the zeros of the inequality to the nearest hundredth?

The zero's of the function are the values of x when the values of the function are equal to zero

see the attached figure

The zero's of the function are

`x=0.84, x=7.16`

Part B) What is the solution set for the inequality?

The solution set is the interval
`[0.84,7.16]`

All real numbers greater than or equal to 0.84 and less than or equal to 7.16

`0.84\leq x \leq 7.16`