Practice Step 4: Write The Solution (2.4) - Quadratic Inequalities - IB 10 Mathematics

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Write the solution in interval notation for x ≥ -2.
Show hintHide hint
Remember to include -2 since it's a 'greater than or equal to' inequality.
Question 2.
Express the solution for x < 5 in interval notation.
Show hintHide hint
Here, 5 is not included, so use parentheses.
3Question 3.
What form signifies that the endpoint is included in the solution?
- (a, b)
- [a, b]
- (a, b]
Show hintHide hint
Think about the symbols: parentheses for exclusion, brackets for inclusion.
4Question 4.
True or False: The solution x > 3 can be represented as [3, ∞).
- True
- False
Show hintHide hint
Remember the rules for including endpoints.
Question 5.
Determine the interval for which x² - 4 ≤ 0 and express the solution in interval notation.
Show hintHide hint
Factor the equation to find the roots before analyzing the sign.
Question 6.
For the inequality x(x - 3) ≥ 0, write the solution in interval notation.
Show hintHide hint
Find where the product is non-negative, considering the endpoints.

4 more questions in this section. Enroll free to practise them all.