Respuesta :
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.
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.
The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]
Further explanation:
There are two types of the interval close interval and open interval.
If the values of [tex]\text{x}[/tex] doesn’t includes the number than it is represented by hollow dot on the number line and if the values of [tex]\text{x}[/tex] includes the number than it is represented by the solid dot on the number line.
Given:
The inequality is [tex]3x + 1 < 7.[/tex]
Explanation:
The given inequality is [tex]3x + 1 < 7.[/tex]
Subtract 1 from both side of the inequality.
[tex]\begin{aligned}3x + 1 - 1 &< 7 - 1\\3x &< 6\\\end{aligned}[/tex]
Now divide both sides by 3.
[tex]\begin{aligned}\frac{{3x}}{3} &< \frac{6}{3}\\x&< 2\\\end{aligned}[/tex]
The solution of the inequality [tex]3x + 1 < 7[/tex] is [tex]\boxed{x < 2}.[/tex]
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Compound inequalities
Keywords: solution, [tex]3x + 1 < 7[/tex], inequalities, graph, compound inequality, graph representation, number line, close interval, open interval, line graph.
