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avatar+49 

131.5 > βˆ’5.6π‘₯ 

 

 

 

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

 

13x βˆ’ 4 = βˆ’9(4+3x) + 12

Given

13x – 4 = βˆ’36 βˆ’ 27x + 12 

a.

13x βˆ’ 4= βˆ’24 βˆ’ 27x 

b.

40x – 4 = βˆ’24 

Addition Property of Equality

40x = βˆ’20 

c.

x = βˆ’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. 

 

βˆ’5(4x + 6) < βˆ’18x + 6 + 4x 

Given

βˆ’20x βˆ’ 30 < βˆ’18x + 6 + 4x 

a.

βˆ’20x – 30 < βˆ’14x + 6 

Combine like terms

βˆ’6x – 30 < 6 

b.

βˆ’6x < 36 

c.

x > βˆ’6 

Division Property of Order
 Sep 22, 2017
 #1
avatar+128090 
0

131.5 > βˆ’5.6π‘₯       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

 Sep 22, 2017

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