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3 years ago

Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7 (line graph)

Mathematics

2 answers:

Maslowich3 years ago

7 0

The solution of the inequality $3x + 1 < 7$ is $\boxed{x < 2}.$

Further explanation:

There are two types of the interval close interval and open interval.

If the values of $\text{x}$ doesn’t includes the number than it is represented by hollow dot on the number line and if the values of $\text{x}$ includes the number than it is represented by the solid dot on the number line.

Given:

The inequality is $3x + 1 < 7.$

Explanation:

The given inequality is $3x + 1 < 7.$

Subtract 1 from both side of the inequality.

$\begin{aligned}3x + 1 - 1 &< 7 - 1\\3x &< 6\\\end{aligned}$

Now divide both sides by 3.

$\begin{aligned}\frac{{3x}}{3} &< \frac{6}{3}\\x&< 2\\\end{aligned}$

The solution of the inequality $3x + 1 < 7$ is $\boxed{x < 2}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Compound inequalities

Keywords: solution, $3x + 1 < 7$ , inequalities, graph, compound inequality, graph representation, number line, close interval, open interval, line graph.

WARRIOR [948]3 years ago

6 0

3x + 1 < 7...subtract 1 from both sides
3x < 7 - 1
3x < 6 ...divide both sides by 3
x < 6/3
x < 2

there will be an open circle on 2....because the problem has no equal sign...the line will be shaded to the left...because it is less then.

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3 years ago

Read 2 more answers

I don't understand this

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2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B

zubka84 [21]

The measures of central tendency for this data set are as follows:

Mean = 3.55.
Median = 3.5.
Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

Mean

Median

Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

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2 years ago