Justification 1: Given
Justification 2: Distributive Property
Justification 3: Addition property of Order
Justification 4: Subtraction property of Order
Justification 5: Division Property of Order
Step-by-step explanation:
We need to solve the inequality and give reasons:
-2(x+6)<3(x+1)
Justification 1: Given
Applying distributive property by multiplying -2 and 3 with terms inside the bracket.
-2x-12<3x+3
Justification 2: Distributive Property
Adding 12 on both sides
-2x<3x+15
Justification 3: Addition property of Order
Subtract 3x on both sides
-5x<15
Justification 4: Subtraction property of Order
Divide both sides by -5 and reverse the inequality.
x>3
Justification 5: Division Property of Order
Keywords: Solving inequalities
Learn more about Solving inequalities at:
- brainly.com/question/1465430
- brainly.com/question/11788572
- brainly.com/question/4192226
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