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Wittaler [7]
2 years ago
10

Graph the solution to this inequality on the number line.

Mathematics
1 answer:
maks197457 [2]2 years ago
6 0

The solution to the inequality x + 5 < -2 is x < -7

<h3>Inequalities</h3>

Inequalities are used to represent unequal expressions

<h3>Number lines</h3>

Number lines are used to relate numbers at a constant interval

The inequality is given as:

x + 5 < -2

Subtract 5 from both sides of the inequality

x + 5 -5< -2-5

Evaluate like terms

x < -7

See attachment for the graph of the inequality

Read more about inequalities and number lines at:

brainly.com/question/11234618

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The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

  1. We can find the probability of numbers not divisible by 3
  2. We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

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Step-by-step explanation:

We have to compare the value of two sides.

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