To find the value of x that makes the equation true, we can start by simplifying the equation.
Adding 2x to both sides of the equation, we get:
1 = 5x + 16
Subtracting 16 from both sides of the equation, we have:
-15 = 5x
Dividing both sides of the equation by 5, we find:
x = -3
Therefore, the value of x that makes the equation true is -3.
-2x + 1 = 3x + 16
What value of x makes this equation true?
3 answers
Which Venn diagram best represents the relationship between irrational numbers, rational numbers, and real numbers?
In order to represent the relationship between irrational numbers, rational numbers, and real numbers, we can create a Venn diagram with three overlapping circles.
The first circle represents irrational numbers, which includes numbers such as √2 and π that cannot be expressed as a fraction and have an infinite non-repeating decimal expansion.
The second circle represents rational numbers, which includes numbers such as 1/2 and -3 that can be expressed as a fraction and have a finite or repeating decimal expansion.
The third circle represents real numbers, which includes all numbers on the number line, both rational and irrational numbers.
The overlapping region represents the numbers that are both irrational and real.
Here is an example of a Venn diagram that represents this relationship:
_________
/ \
|__Ir___________R__|
|____Real____|
In this diagram, Ir denotes the set of irrational numbers, R denotes the set of rational numbers, and Real denotes the set of real numbers.
Please note that the circles and the overlapping region should be drawn proportionally according to their relationships, with the set of real numbers encompassing both rational and irrational numbers.
The first circle represents irrational numbers, which includes numbers such as √2 and π that cannot be expressed as a fraction and have an infinite non-repeating decimal expansion.
The second circle represents rational numbers, which includes numbers such as 1/2 and -3 that can be expressed as a fraction and have a finite or repeating decimal expansion.
The third circle represents real numbers, which includes all numbers on the number line, both rational and irrational numbers.
The overlapping region represents the numbers that are both irrational and real.
Here is an example of a Venn diagram that represents this relationship:
_________
/ \
|__Ir___________R__|
|____Real____|
In this diagram, Ir denotes the set of irrational numbers, R denotes the set of rational numbers, and Real denotes the set of real numbers.
Please note that the circles and the overlapping region should be drawn proportionally according to their relationships, with the set of real numbers encompassing both rational and irrational numbers.