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In this lesson, we will learn how to solve a linear inequality in two steps.

Q1:

What can you say about 9 π₯ β 2 = 1 0 ?

Q2:

What can you say about π₯ > 2 7 β 6 ?

Q3:

What can you say about 6 π₯ + 2 5 ?

Q4:

Given that π₯ β β , solve the inequality 7 π₯ β 5 β€ 8 .

Q5:

Find the solution set of 3 π₯ β 7 < β 4 given that π₯ β β .

Q6:

Find the solution set of the inequality 1 3 π₯ + 1 < β 6 in β . Give your answer in interval notation.

Q7:

Given that the solution set of the inequality π β€ 4 π₯ β 3 β€ π is { π₯ βΆ π₯ β β , 3 β€ π₯ β€ 6 } , find the values of π and π .

Q8:

Find the solution set of β 5 π₯ β 4 > 1 given that π₯ β β .

Q9:

Solve the inequality 1 9 + 7 π₯ < 4 0 in β .

Q10:

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

Q11:

Determine the solution set of 2 β π₯ β€ β 8 , where π₯ β β€ + .

Q12:

Find all values of π₯ that satisfy β 1 8 β€ π₯ β 8 β€ 1 2 . Write your answer as an interval.

Q13:

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 π₯ can take.

Solve your inequality.

Q14:

Find the solution set of the inequality 1 8 β 2 π₯ β€ β 1 8 in β . Give your answer in interval notation.

Q15:

Solve 7 β€ 2 π₯ + 1 .

Q16:

Solve 4 β€ β 5 π₯ β 1 .

Q17:

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

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