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Asked Oct 14, 2019
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Question 54 please 

N
N/X
+
47. 3(x5)
5)
-(x + 3)
48.-2(x7) 3(x +2)
(5 2x)3x -
8) <7x + 2(5 - x)
51. 24 6x- 2(3x - 5) +2x
49. 4х
50. 3(х
young adults with
ents a 43% increase
1
+
2
2
52.
ung adults with as-
earnings of young
3
3
3
9
53. х +
<\
und to the nearest
4
4
tatistics)
x -5
54.
3
(2x + 6)
twice the first sub-
tegers is 16.
Solve.
utive odd integers
the second by 54.
55. George Boros can pay his housekeeper $15 per weel
his laundry, or he can have the laundromat do it at a
30 cents per pound for the first 10 pounds and 40 c
each additional pound. Use an inequality to find the
at which it is more economical to use the housekee
the laundromat.
day for a compact
ver 100 miles driv-
is $46.86, find how
56./In the Olympic gymnastics competition, Nana mus
65 to win the silver medal. Seven of
ntific calculators is
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N N/X + 47. 3(x5) 5) -(x + 3) 48.-2(x7) 3(x +2) (5 2x)3x - 8) <7x + 2(5 - x) 51. 24 6x- 2(3x - 5) +2x 49. 4х 50. 3(х young adults with ents a 43% increase 1 + 2 2 52. ung adults with as- earnings of young 3 3 3 9 53. х + <\ und to the nearest 4 4 tatistics) x -5 54. 3 (2x + 6) twice the first sub- tegers is 16. Solve. utive odd integers the second by 54. 55. George Boros can pay his housekeeper $15 per weel his laundry, or he can have the laundromat do it at a 30 cents per pound for the first 10 pounds and 40 c each additional pound. Use an inequality to find the at which it is more economical to use the housekee the laundromat. day for a compact ver 100 miles driv- is $46.86, find how 56./In the Olympic gymnastics competition, Nana mus 65 to win the silver medal. Seven of ntific calculators is

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Expert Answer

Step 1

Given an inequality:

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х— 5 3 <5(2х + 6) 2 To Solve for x

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Step 2

We try to simplify the inequality such that we have variable on one side and constant on the other,

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х — 5 2(х + 3).. (Taking 2 common) 2 х— 5 * (x 3) (Cancelling the common term) 2 4 Now, there are no common terms, we cross multiply the denominator. 4 (х — 5) <2 * 3 * (х+ 3) 4 (х — 5) < 6(х + 3) 4х — 20 < бх+ 18 V

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Step 3

We simplify fu...

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Adding 20 on both sides, 4x - 20 20 s 6x+ 18 + 20 4x < бх + 38 Now, subtract both sides by 4x, 4х — 4x < бх + 38— 4х 0 2x38 We subtract both sides by 38, -382x38 - 38 -38 2x

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Algebra

Equations and In-equations

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