In this worksheet, we will practice solving a linear inequality in two steps.

**Q2: **

Find the solution set of given that .

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**Q3: **

Determine the solution set of , where .

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**Q4: **

Find the solution set of given that .

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**Q5: **

Mrs Dalia tells her maths class, “Five more than four times a number is more than 12.” Let represent the number, and write an inequality that represents her statement.

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**Q6: **

In the figure, the perimeter of the rectangle is less than that of the triangle.

Write an inequality that can be used to find the range of values that can take.

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Solve your inequality.

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**Q7: **

Given that , solve the inequality .

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**Q8: **

Solve the inequality in .

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**Q9: **

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

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**Q10: **

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

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**Q11: **

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

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**Q12: **

Solve .

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**Q13: **

Given that the solution set of the inequality is , find the values of and .

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**Q14: **

Find all values of that satisfy . Write your answer as an interval.

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**Q15: **

Solve .

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