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