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2 years ago

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

Mathematics

1 answer:

Citrus2011 [14]2 years ago

7 0

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: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

−38−3(x+5)>6x−17

So, Reason for step 1: Given

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

−9x>36

So, Reason for step 5: Addition property of order

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
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2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

a + b = 77
+ + +
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Which gives;
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Then solve to find a:
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3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

a + b = 77
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