Non-Linear Inequalities and Exp F Quiz

Reorder the following to solve non-linear inequalities:

• Factor completely.

• Set to zero.

• Answer in interval form.

• Find the zeroes of the function.

• Do the number line test.

If the function has no roots, then what happens with solving for x when f(x) > 0?

• You know there is no solution.

• The solution cannot be all real numbers.

• The solution might be all real numbers.

• None of the other answers are correct.

For the number line test, if there are 6 zeroes, you will have to test how many numbers?

• 5

• 6

• 7

• 8

If (x-4)(x+5)(x-7) < 0, then x < 4, -5, and 7.

• True

• False

• both open and closed intervals

• only open intervals

• only closed intervals

• unknown intervals. Need to see the actual function.

• 1

• 2

• 3

• 0

When doing the number line test, which is the most correct? You must....

• test with only integers

• test with numbers close to the zeroes

• test any number between the zeroes

• test only the 1st interval and just switch + and - after that

• no solution

• all real numbers

(2 - x) / (x + 1) ≤ 0

• (−∞, −1) U [2, ∞)
• (−∞, −1] U [2, ∞)
• (−∞, −1) U (2, ∞)
• (−∞, −1] U (2, ∞)