MathematicsYear 9en

📊 Inequalities and Solution Sets on a Number Line

Learn to solve linear inequalities and represent solutions on a number line. **What you'll learn:** - Solve linear inequalities using inverse operations - Represent inequality solutions on a number line using open and closed circles - Understand the difference between strict and non-strict inequalities - Identify and write solution sets from number line diagrams - Solve compound inequalities and express combined solution sets

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Questions in this quiz

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Question 1
Which inequality statement matches the number line shown: an open circle at 3 with an arrow pointing to the right?
Question 2
The inequality $x \geq 5$ is represented on a number line by a closed circle at 5 with an arrow pointing to the right.
Question 3
Solve for $x$ : $x + 7 > 12$ . The answer is $x >$ ___
Question 4
Which of the following inequalities has a different solution direction (points left instead of right) on a number line?
Question 5
When solving an inequality, the inequality symbol always flips direction whenever you multiply or divide both sides by a negative number.
Question 6
Solve: $3x - 4 \leq 11$ . What is the solution?
Question 7
Solve: $-2x + 6 < 14$ . The answer is $x >$ ___
Question 8
Which number line diagram represents the solution set $-2 \leq x < 5$ ?
Question 9
A student solves $\frac{x}{3} + 2 > 5$ and gets $x > 9$ . Is this correct, and if not, what is the error?
Question 10
Arrange these steps in the correct order to solve the inequality $-3x + 7 \leq 16$ .