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Reptile [31]
3 years ago
6

Solve this inequality for x: -46 -8x >22.

Mathematics
2 answers:
Furkat [3]3 years ago
8 0

Step-by-step explanation:

-46 - 8x > 22: Original problem

-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality

-8x > 68: Simplification

x < 68/-8 : You have to flip the inequality symbol because you are dividing by                                

                  a negative number..

x< -8.5 : The answer!!!!!

Checking your answer....

-46 - 8x > 22 : Original problem

-46 - 8(-8.5) > 22 : Substitution

-46 + 68 > 22 : Simplification

22 > 22 : Answer check successful!!!

(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)

Hope this helps!!!!

olga2289 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

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Step-by-step explanation:

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3 years ago
Suppose y varies directly with x if y=27 when x=3 what is y when x=5
Sindrei [870]

The value of y when x = 5 is 45

<h3><u>Solution:</u></h3>

Given that y varies directly with x. This can be written mathematically as:

y  ∝  x

y = k \times x  ---- eqn 1

Where "k" is the constant of propotionality

Given y = 27 when x = 3. Substitute these values in eqn 1

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<h3>k = 9</h3>

Substitute k = 9 in eqn 1

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<u><em>To find: y = ? and x = 5</em></u>

Substitute x = 5 in eqn 2

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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