Answered

What is the reason for each step in the solution of the inequality?

−38−3(x+5)>6x−17
Match the reason with the correct step in the inequality.

Question 8 options:

Addition Property of Order


Distributive Property


Division Property of Order


Subtraction Property of Order


Given


Combine Like Terms

1.
−38−3(x+5)>6x−17
2.
−38−3x−15>6x−17
3.
−3x−53>6x−17
4.
−9x−53>−17
5.
−9x>36
6.
x<−4

Answer :

absor201

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: [tex]-38-3(x+5)>6x-17[/tex]

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

Other Questions