Question

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

Answer 1

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:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. 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.

Answer 2

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.