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Inessa [10]
3 years ago
12

-2x – 4 < 3x + 21 Solve the inequality

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Isolate the x. Subtract 3x from both sides, and add 4 to both sides

-2x (-3x) - 4 (+4) < 3x (-3x) + 21 (+4)

-2x - 3x < 21 + 4

Simplify. Combine like terms

-5x < 25

Isolate the x. Divide -5 from both sides (remember to flip the sign).

-5x/-5 < 25/-5

x > 25/-5

x > -5

x > -5 is your answer

hope this helps

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The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
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<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

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Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

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Read more about functions at:

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