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3 years ago

Which graph represents the solution set of the inequality x+2≥ 6?

Mathematics

2 answers:

meriva3 years ago

7 0

Answer:

Step-by-step explanation:

Which graph shows the solution to the inequality x+2≥6?

Isolate x by subtracting 2 from each side.

x+2 -2 ≥ 6-2

x + 0 ≥ 4

(Greater than) means the arrow will go right.

(Equal too) means the tiny circle on the number line will be filled in or shaded.

Therefore, C is the answer

daser333 [38]3 years ago

6 0

The x intercept would be on (-2,0)

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4 years ago

If five times the successor of a number is added to an original number the sum is 83

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Answer:

Let the original number be x

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also, the successor of a whole number is the number obtained by adding 1 to that number.

Then, the successor of a number x is, x+1

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3 years ago

Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio

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9514 1404 393

Answer:

x = 16/3

Step-by-step explanation:

a) The rewritten equation is ...

$\dfrac{x-2}{x+8}=\dfrac{x-1}{x+12}$

b) The solution can be found as ...

$\dfrac{x-2}{x+8}-\dfrac{x-1}{x+12}=0\\\\(x-2)(x+12)-(x+8)(x-1)=0 \qquad\text{numerator of the difference}\\\\(x^2+10x-24)-(x^2+7x-8)=0\\\\3x-16=0\qquad\text{simplified}\\\\x=\dfrac{16}{3}\qquad\text{one solution}$

The solution set is {16/3}.

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The applicable rule of logarithms is ...

log(a) -log(b) = log(a/b)

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