Question
Solve for xx and graph the solution on the number line below.
36, is less than or equal to, 4, x
36≤
4x
Answer
Attempt 1 out of 3
Inequality Notation:
Number Line:
36, is less than or equal to, 4, x
36≤
4x
Answer
Attempt 1 out of 3
Inequality Notation:
Number Line:
Answers
GPT-4o mini
To solve the inequality \( 36 \leq 4x \), we can isolate \( x \) by following these steps:
1. Divide both sides of the inequality by 4:
\[
\frac{36}{4} \leq x
\]
2. Simplify the left side:
\[
9 \leq x
\]
This can also be written as:
\[
x \geq 9
\]
### Inequality Notation
The solution in inequality notation is:
\[
x \geq 9
\]
### Number Line
To graph the solution \( x \geq 9 \) on the number line:
- Draw a number line.
- Place a closed circle (or solid dot) at 9 to signify that 9 is included in the solution.
- Shade the region to the right of 9 to indicate that all numbers greater than 9 are also part of the solution.
Here’s a simple representation of what it should look like:
```
<---|---|---|---|---|---|---|---|---|---|---|--->
7 8 9 10 11 12 13 14 15
•=========>
```
Where the closed circle at 9 represents that 9 is included in the solution (indicating \( x \geq 9 \)) and the shaded part to the right indicates all numbers greater than 9.
1. Divide both sides of the inequality by 4:
\[
\frac{36}{4} \leq x
\]
2. Simplify the left side:
\[
9 \leq x
\]
This can also be written as:
\[
x \geq 9
\]
### Inequality Notation
The solution in inequality notation is:
\[
x \geq 9
\]
### Number Line
To graph the solution \( x \geq 9 \) on the number line:
- Draw a number line.
- Place a closed circle (or solid dot) at 9 to signify that 9 is included in the solution.
- Shade the region to the right of 9 to indicate that all numbers greater than 9 are also part of the solution.
Here’s a simple representation of what it should look like:
```
<---|---|---|---|---|---|---|---|---|---|---|--->
7 8 9 10 11 12 13 14 15
•=========>
```
Where the closed circle at 9 represents that 9 is included in the solution (indicating \( x \geq 9 \)) and the shaded part to the right indicates all numbers greater than 9.