Exercise 31 Page 66

Rewrite the given inequalities.

A and D, see solution.

Practice makes perfect

Let's check each option one by one and try to rewrite them as the given inequality.

A

Let's start with the first option.

x-b-3<0

AddIneq

LHS+3

x-b<3

After applying the Addition Property of Inequality, the inequality exactly matches the inequality in the prompt, so we know A is an answer.

B

Now let's check the second option.

0>b-x+3

SubIneq

LHS-b>RHS-b

- b>- x+3

AddIneq

LHS+x>RHS+x

x-b>3

After applying the Subtraction and Addition Properties of Inequality, the resulting inequality does not match the inequality in the prompt, so we know B is not an answer.

C

Next, let's check the third option.

x<3-b

AddIneq

LHS+b

x+b<3

After applying the Addition Property of Inequality, the resulting inequality does not match the inequality in the prompt, so we know C is not an answer.

D

Finally, let's check the fourth option.

-3

AddIneq

LHS+3

AddIneq

LHS+x

SubIneq

LHS-b

x-b<3

After applying the Addition and Subtraction Properties of Inequality, the inequality exactly matches the inequality in the prompt, so we know D is an answer.

Subchapter links

Communicate Your Answer p.61

Monitoring Progress p.62-64

Exercises p.65-66

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Exercise 31 Page 66

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