Question

What is the justification for each step solving the inequality? 2x+1<_3(x+1)/2

4x+2<_3(x+1)
4x+2<_3x+3
x+2<_3
x<_1


Multiplication or Division, property of order

Distributive property

Addition and subtraction property of order.

*2 parts of the equation can have the same answer.

Thank you :)

Answer 1

1. multiplication/division property of order
2. distributive property
3. addition/subtraction property of order
4. addition/subtraction property of order

Explanation:

In the first step, the relation is multiplied by 2, hence multiplication property.

In the next step, the parentheses are eliminated, hence distributive property.

In the next two steps -3x, then -2 are added to both sides, hence the addition property.