Linear inequalities and number lines
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Log in to continueSolve inequalities, interpret boundary inclusion and graph the solution set.
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Solve 2x + 1 < -5.
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Answer: x < -3
- Subtract 1 from both sides.
- Divide by positive 2; the inequality direction stays the same.
- The solution is x < -3.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Solve inequalities, interpret boundary inclusion and graph the solution set.
Read the official VCAA curriculum description (VC2M10A08)
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Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10A08-C01Solve inequalities using positive multiplication or division.
- VC2M10A08-C02Graph a linear inequality solution on a number line.
- VC2M10A08-C03Reverse the inequality after negative multiplication or division.
- VC2M10A08-C04Draw and justify number-line representations including negative-division cases.
- VC2M10A08-C05Apply and explain linear inequalities and number lines using calculate and explain each step.
- VC2M10A08-C06Apply and explain linear inequalities and number lines using read and connect representations.
- VC2M10A08-C07Apply and explain linear inequalities and number lines using work backwards from what is known.
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Subskills
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Descriptor-derived subskills
- D01Keep the directionSolve inequalities using positive multiplication or division.
- D02Reverse the directionReverse the inequality after negative multiplication or division.
- D03Calculate and explain each stepApply and explain linear inequalities and number lines using calculate and explain each step.
- D04Read and connect representationsApply and explain linear inequalities and number lines using read and connect representations.
- D05Work backwards from what is knownApply and explain linear inequalities and number lines using work backwards from what is known.