+0  
 
-1
95
1
avatar+49 

131.5 > −5.6𝑥 

 

 

 

What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification. 

 

13x − 4 = −9(4+3x) + 12

Given

13x – 4 = −36 − 27x + 12 

a.

13x − 4= −24 − 27x 

b.

40x – 4 = −24 

Addition Property of Equality

40x = −20 

c.

x = −1/2 

Division Property of Equality

 

 

 

What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification. 

 

−5(4x + 6) < −18x + 6 + 4x 

Given

−20x − 30 < −18x + 6 + 4x 

a.

−20x – 30 < −14x + 6 

Combine like terms

−6x – 30 < 6 

b.

−6x < 36 

c.

x > −6 

Division Property of Order
Gaymer2345  Sep 22, 2017
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1+0 Answers

 #1
avatar+79894 
+1

131.5 > −5.6𝑥       divide both sides by -5.6.....reverse the inequality sign since we're dividing by a negative

 

-131.5 / 5.6  <  x

 

 

a.   distributive property

b .  simplification of -36 + 12   [ not sure about the name of this property ] 

c.  addition property of equality

 

 

a.   distributive property

b.  addition property of inequality

c.  addition property of inequality

 

 

 

cool cool cool

CPhill  Sep 22, 2017

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