The reasons put into the correct order to justify solving the inequality:
- -2(x + 6) < 3(x + 1) - Given
- -2x - 12 < 3x + 3 - Distributive Property
- -2x < 3x + 15 - Addition Property of Order
- -5x < 15 - Subtraction Property of Order
- x > 3 - Division Property of Order
<h3>Justify each property of equality</h3>
-2(x + 6) < 3(x + 1) - Given
-2x - 12 < 3x + 3 - Distributive Property
-2x < 3x + 15 - Addition Property of Order
-5x < 15 - Subtraction Property of Order
x > 3 - Division Property of Order
Check how to solve:
-2(x + 6) < 3(x + 1)
Open the parenthesis
-2x - 12 < 3x + 3
Add 12 to both sides
-2x - 12 + 12 < 3x + 3 + 12
-2x < 3x + 15
Subtract 3x from both sides
-2x - 3x < 3x + 15 - 3x
- 5x < 15
divide both sides by -5
x > 3
Therefore, the solution to the given inequality -2(x + 6) < 3(x + 1) is x > 3.
The properties mentioned above are properties of inequalities and hold for all situations of inequalities as given.
Read more on property of equality:
brainly.com/question/1601404
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