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In this lesson, we will learn how to know whether an inequality is true or false for a given value of a variable and to determine numbers that satisfy an inequality.

Q1:

Given that π = 1 1 , is the inequality 2 8 β π < 3 4 true or false?

Q2:

Is the inequality true or false if π¦ = 2 ?

Q3:

Given that π = 5 , is the inequality 4 0 π β€ 2 6 true or false?

Q4:

Which of the following values of π₯ does NOT satisfy the inequality π₯ > β 9 ?

Q5:

Which of the following inequalities does the number β 2 8 satisfy?

Q6:

Choose the largest integer below which satisfies the inequality π₯ > 6 .

Q7:

Which of the following inequalities has π₯ = 5 1 as a solution?

Q8:

The number 2 is a solution to which one of these inequalities?

Q9:

State whether the following is true or false: If π and π belong to β and π > π , where π and π have the same signs, then 1 π < 1 π .

Q10:

Complete the statement: The greatest integer that satisfies the inequality 0 < π₯ < 3 is .

Q11:

Which of the following points is not a solution of the inequality β 3 π₯ β 3 π¦ β€ 5 ?

Q12:

Which of the relation symbols below makes the following statement true? The point ( β 3 , 2 ) belongs to the solution set of the inequality 4 π₯ + 2 π¦ β 2 .

Q13:

If π β₯ π and π < 0 , which of the following inequalities is true?

Q14:

Which of the following points belongs to the solution set of the inequality β π₯ β 9 π¦ β€ β 3 ?

Q15:

Which of the following are true given that 0 < π₯ < 9 ?

Q16:

If π₯ β β + , π¦ β β + , and 2 5 π₯ < 8 1 π¦ 2 2 , which of the following is true?

Q17:

Which of the following inequalities is true?

Q18:

What is the name of the set of all values that satisfy a given equation or inequality?

Q19:

Is the inequality true or false if π₯ = 5 ?

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