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yarga [219]
3 years ago
11

Which inequality is true

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

The first one on the left.

The vertical bars mean we take the absolute value of that number.

Absolute value means distance from zero on a number line.

So the absolute value of any number

is the positive version of that number.

So for the one on the left we have |-100| > |50|.

Since absolute value represents the positive version

of a number, the absolute value of -100 will be 100.

Since |50| is already positive, it stays the same.

So we have 100 > 50 which is indeed a true statement.

If you solve the other ones, you will see that they are false.

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Answer:

\large\boxed{y\in(-6,\ \infty)}

Step-by-step explanation:

(1)\\2y-2>-14\qquad\text{add 2 to both sides}\\\\2y-2+2>-14+2\\\\2y>-12\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}>\dfrac{-12}{2}\\\\y>-6

(2)\\\\4y-4\geq12\qquad\text{add 4 to both sides}\\\\4y-4+4\geq12+4\\\\4y\geq16\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}\geq\dfrac{16}{4}\\\\y\geq4

\text{From (1) and (2) we have:}\\\\y>-6\ or\ y\geq4\to y\in(-6,\ \infty)\ \cup\ [4,\ \infty)\Rightarrow y\in(-6,\ \infty)

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3 years ago
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Answer:

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Step-by-step explanation:

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mote1985 [20]

Answer:

59%

Step-by-step explanation:

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If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
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Step-by-step explanation:

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