Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to solve simple and compound linear inequalities and how to express their solution sets using interval notation.

Q1:

Find all values of π₯ that satisfy β 1 8 β€ β π₯ + 4 β€ β 1 . Write your answer as an interval.

Q2:

Find the solution set of the inequality 4 π₯ + 4 β₯ β 2 in β .

Q3:

Find the solution set of the inequality β 2 β€ 4 π₯ β 1 β€ 4 in β . Give your answer in interval notation.

Q4:

Find the solution set of the inequality 2 β€ β π₯ + 6 2 β€ 3 in β . Give your answer in interval notation.

Q5:

Find the solution set of the inequality π₯ β€ 2 0 in β . Give your answer in interval notation.

Q6:

Find the solution set of the inequality β 4 π₯ β 1 < 5 in β . Give your answer in interval notation.

Q7:

Find the solution set of the inequality in . Give your answer in interval notation.

Q8:

Find the solution set of the inequality 1 β₯ 3 π₯ + 4 > β 4 in β . Give your answer in interval notation.

Q9:

Find the solution set of the inequality β 2 < 4 π₯ β 3 < 2 in β . Give your answer in interval notation.

Q10:

Find the solution set of the inequality β 2 β₯ 4 π₯ + 5 β₯ β 5 in β .

Q11:

Find the solution set of the inequality 5 > π₯ β 1 β₯ 4 in β .

Q12:

Find the solution set of the inequality β 5 β€ 1 5 π₯ β 2 < 2 in β . Give your answer in interval notation.

Q13:

Find the solution set of the inequality 5 π₯ β 1 1 0 < β 2 π₯ + 5 < π₯ + 3 2 in β . Give your answer in interval notation.

Q14:

If β 6 < π₯ β€ 4 , then what interval does 3 π₯ β 5 lie in?

Q15:

Find the solution set of π₯ + 1 β₯ | β 5 | given that π₯ β β .

Q16:

Find the solution set of the inequality 3 π₯ β 2 β₯ 1 in β .

Q17:

Find the solution set of the inequality 4 π₯ β 5 β₯ β 4 in β .

Q18:

Find the solution set of the inequality β 2 β€ β 2 π₯ β 4 β€ 2 in β . Give your answer in interval notation.

Q19:

Find the solution set of the inequality β 3 < 5 π₯ + 4 < 3 in β . Give your answer in interval notation.

Q20:

Find the solution set of the inequality 0 β€ 1 4 π₯ + 1 β€ 3 in β . Give your answer in interval notation.

Donβt have an account? Sign Up