Graph x - 9 ≤ 1 on the number line.
Solve the inequality. The graph the solution using the steps below.
Place the open or closed circle on the number line.
Use the blue line to shade in the correct direction. Adjust the size of the line as needed.
1-20
The inequality is x - 9 ≤ 1.
To graph this inequality on the number line, we start by graphing the equation x - 9 = 1.
To solve for x in the equation x - 9 = 1, we first add 9 to both sides of the equation:
x - 9 + 9 = 1 + 9
x = 10
So the solution to the equation x - 9 = 1 is x = 10.
Now, let's graph the inequality x - 9 ≤ 1 on the number line.
Step 1: Place a closed circle on the number line at x = 10. This is because x can be equal to 10 in the inequality.
Step 2: Since x - 9 ≤ 1, x must be less than or equal to 10. To shade the correct direction, draw a blue line starting from the closed circle at x = 10 and extending to the left side of the number line.
The graph of the solution to the inequality x - 9 ≤ 1 on the number line is:
|
|
|
______|_____
9
←←←←←←←←
Therefore, the solution to the inequality x - 9 ≤ 1 is x ≤ 10.
Graph x - 9 ≤ 1 on the number line.
Solve the inequality. The graph the solution using the steps below.
Place the open or closed circle on the number line.
Use the blue line to shade in the correct direction. Adjust the size of the line as needed.
1-20
My apologies for the mistake in the previous response.
To graph the inequality x - 9 ≤ 1 on the number line, we start by graphing the equation x - 9 = 1.
To solve for x in the equation x - 9 = 1, we add 9 to both sides of the equation:
x - 9 + 9 = 1 + 9
x = 10
So the solution to the equation x - 9 = 1 is x = 10.
Now, let's graph the inequality x - 9 ≤ 1 on the number line.
Step 1: Place a closed circle on the number line at x = 10. This is because x can be equal to 10 in the inequality.
Step 2: The inequality x - 9 ≤ 1 means that x is less than or equal to 10. To shade the correct direction, draw a blue line starting from the closed circle at x = 10 and extending to the left side of the number line.
The graph of the solution to the inequality x - 9 ≤ 1 on the number line is:
|
|
|
______|_____
9 10
←←←←←←←←←←
Therefore, the solution to the inequality x - 9 ≤ 1 is x ≤ 10.
l or r
Sorry for the confusion. To indicate whether the circle should be open or closed, we need to determine whether the inequality is inclusive or exclusive.
In the inequality x - 9 ≤ 1, since there is an equal sign, it is an inclusive inequality. This means that x can be equal to 10.
Therefore, the circle should be closed at x = 10.