Practice Step 4: Write The Solution (2.4) - Quadratic Inequalities - IB 10 Mathematics – Group 5, Algebra
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Step 4: Write the solution

Practice - Step 4: Write the solution

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Write the solution in interval notation for x ≥ -2.

💡 Hint: Remember to include -2 since it's a 'greater than or equal to' inequality.

Question 2 Easy

Express the solution for x < 5 in interval notation.

💡 Hint: Here, 5 is not included, so use parentheses.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What form signifies that the endpoint is included in the solution?

(a
b)
[a
b]
(a
b]

💡 Hint: Think about the symbols: parentheses for exclusion, brackets for inclusion.

Question 2

True or False: The solution x > 3 can be represented as [3, ∞).

True
False

💡 Hint: Remember the rules for including endpoints.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Determine the interval for which x² - 4 ≤ 0 and express the solution in interval notation.

💡 Hint: Factor the equation to find the roots before analyzing the sign.

Challenge 2 Hard

For the inequality x(x - 3) ≥ 0, write the solution in interval notation.

💡 Hint: Find where the product is non-negative, considering the endpoints.

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