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Answer:

Which inequality is a true statement?

Select each correct answer.

−3≥−1

−3=−1

−3≤−1  CORRECT

−3>−1

−3<−1 CORRECT

Which statement is true?

−2.4≤−2.40  CORRECT

−2.4≠−2.40

−2.4<−2.40

−2.4>−2.40

Which value of x is a solution of the inequality?

​3x−3≥9​

x = 1

x = 2

x = 3

x = 4 CORRECT

Which values are solutions to the inequality?

​3r≤4r−6​

Select each correct answer.

r = 4

r = 5

r = 6  CORRECT

r = 7 CORRECT

Which values from the given replacement set make up the solution set of the inequality?

5n>24 ; {2, 3, 4, 5, 6}

 

{2, 3}

{3, 4}

{5, 6}  CORRECT

{4, 5, 6}

Step-by-step explanation:

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The statement presented in an inequality is true if the information the inequality gives is correct.

The inequality which are true statements are;

  • -3 ≤ -1 and -3 < -1

Reasons:

The given inequalities are presented as follows;

  • -3 ≤ -1

On the number line, the number -3 is less than the number -1, therefore,  inequality is a true statement.

Similarly, we have;

  • The inequality, -3 < -1 is a true statement

The other statements of inequality are;

The statement -3 = -1 is a false statement

The inequality -3 > -1 is false statement because -3 is located to the left of -1 on the number line and is therefore  lesser than -1

Similarly, the inequality -3 ≥ -1 is a false statement

The true statement are;

  • -3 ≤ -1
  • -3 < -1

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