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tamaranim1 [39]
3 years ago
9

Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.

Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

s\in (-\infty,1)

Step-by-step explanation:

Solve the inequality -2(s - 7) > 4s + 8

Use distributive property:

-2s+14>4s+8

Subtract 4s:

-2s+14-4s>4s+8-4s\\ \\-6s+14>8

Subtract 14:

-6s+14-14>8-14\\ \\-6s>-6

Divide by -6 (do not forget to change sign, because division by negative number changes the sign):

s

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What is the answer?​
charle [14.2K]

Answer:

x = 20 but see below.

Step-by-step explanation:

Remark.

This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.

A = D

3x - 10 = 2x + 10                     Add 10 to both sides

3x - 10 + 10 = 2x + 10 + 10     Cancel

3x = 2x + 20                           Subtract 2x from both sides

3x-2x=2x-2x + 20

x = 20

A = E

If A = E then to find x you have to add 3 angles together.

E + D + 45 = 180                  Add the three angles of the triangle

E + D = 180 - 45                  Subtract  45 from both sides

E + D = 135                          Substitute for D and E

3x - 10 + 2x + 10 = 135        Combine like terms

5x = 135                              Divide by 5

x = 135 / 5

x = 27

Answer

I'd go with the first one.

5 0
3 years ago
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Mila [183]

Step-by-step explanation:

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3 0
2 years ago
If 6x = 1/126 find the value<br> of x.
Anastasy [175]

Answer:

x = \frac{1}{756}

Step-by-step explanation:

Given

6x = \frac{1}{126} ( divide both sides by 6 )

x = \frac{\frac{1}{126} }{6} = \frac{1}{126} × \frac{1}{6} = \frac{1}{126(6)} = \frac{1}{756}

6 0
2 years ago
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The Answer fam is (1/4,7/8)

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Step-by-step explanation:

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2 years ago
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