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muminat
3 years ago
15

Using the numbers 8, 6, 4 write an expression that equals 7

Mathematics
1 answer:
8090 [49]3 years ago
4 0

\dfrac{8-4}{4}+6=\dfrac{4}{4}+6=1+6=7


8-\dfrac{8-6}{6-4}=8-\dfrac{2}{2}=8-1=7


\dfrac{8+6}{6-4}=\dfrac{14}{2}=7

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Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.
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The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

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Carlos started at sea level, climbed a cliff to a height of 14 m, then dived 19 m. Find the level at which has dive ended
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Suppose xy &gt; 0. Describe the points whose coordinates are solutions to the inequality.
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The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

  • x ≠ 0
  • y ≠ 0
  • Sign(x) =sign(y)

<h3>Which points are solutions of the inequality?</h3>

We want to find points of the form (x, y) that are solutions of the inequality:

x*y > 0

Clearly x and y must be different than zero.

So, for example if x = -1, y can be any negative number, for example y= -3

x*y > 0

(-1)*(-3) > 0

3 > 0

This is true.

Now if x  = 1, y must be positive. LEt's take y = 103, then:

x*y > 0

1*103 > 0

103 > 0

Then we have 3 conditions:

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The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.

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