Identify the property used in each step of solving the inequality

,,,,step ,,,,,,,,,,,,,,,, justification

3x – 2 > –4. |||||||1. given

3x > -2. |||||||||||||||| 2. _____

x>- 2/3 ||||||||||\|||||3. _____

Respuesta :

The algebraic property used in steps 2 and 3 are respectively Addition Property of Equality and Division Property of Equality.

What is the algebraic property used?

We are given the inequality;

3x – 2 > –4

Step 2;

Using Addition Property of Equality, add 2 to both sides;

3x – 2 + 2 > –4 + 2

3x > –2

Step 3;

Using Division Property of Equality, divide both sides by 3 to get;

3x/3 > –2/3

x > –2/3

Thus, we conclude that the algebraic property used in steps 2 and 3 are respectively Addition Property of Equality and Division Property of Equality.

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