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noname [10]
2 years ago
4

What is the justification for each step in solving the inequality?

Mathematics
2 answers:
Oksana_A [137]2 years ago
6 0

Step-by-step explanation:

(1)

1) given  

 -7 (3 + 8x) + 5 ≤ 1 - 62x    

2) by distributive property..  

 -21 - 56x + 5x ≤ 1 - 62x

3) combine like terms  

  -21 - 51x ≤ 1 - 62x

4) using addition property of order

 -21 + 11x ≤ 1

5) using addition property of order

  11x ≤ 22

5) using division property of order

 x ≤ 2

(2)

1) given that

54 + 2x = 5x - 3(2 + 6x)

2)using distributive property

54 + 2x = 5x - 6 - 18x

3)by combining like terms

54 + 2x = - 13x - 6

4)using subtraction property of equality

54 = -15x - 6

5)using addition property of equality

60 = -15x

6)using division property of equality

-4 = x

Naddik [55]2 years ago
3 0
-7 (3 + 8x) + 5 < = 1 - 62x....given
-21 - 56x + 5x < = 1 - 62x ...distributive property
-21 - 51x < = 1 - 62x...combine like terms
-21 + 11x < = 1....addition property
11x < = 22...addition property
x < = 2....division property
=================
54 + 2x = 5x - 3(2 + 6x)...given
54 + 2x = 5x - 6 - 18x....distributive property
54 + 2x = - 13x - 6...combine like terms
54 = -15x - 6...subtraction property
60 = -15x ...addition property
-4 = x....division property




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