Question 465480: Please answer this question. Thanks(:
The problem has four inequalities and I have to write all of these on a number line, but I don't know how to do that. Can you please help me?
Here are the four inequalities: A) -2 < x ≤ 3
B) -2 < x < 3
C) -2 ≥ x > 3
D) -2 > x ≥ 3
Found 2 solutions by lwsshak3, richard1234:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! The problem has four inequalities and I have to write all of these on a number line, but I don't know how to do that. Can you please help me?
Here are the four inequalities:
A) -2 < x ≤ 3
B) -2 < x < 3
C) -2 ≥ x > 3
D) -2 > x ≥ 3
**
.... inequalities........number line
A) -2 < x ≤ 3 <....... (-2..3]...........>
B) -2 < x < 3 <...... (-2..3)..........>
C) -2 ≥ x > 3 <.......-2)...(3..........>
D) -2 > x ≥ 3 <.......-2)....[3..........>
Answer by richard1234(7193)  (Show Source):
You can put this solution on YOUR website! A and B are very similar. Take a number line, and draw a line from -2 to 3. The endpoints are denoted with a hollow circle if it is a strict inequality, or a full circle if you include the endpoint. For example, A) -2 < x <= 3, you would draw a hollow circle around -2, a full circle around 3, and a line signifying all real numbers between -2 and 3.
C and D are, well, epic failures. You cannot have a compound inequality satisfying -2 is greater than x which is greater than 3.
|
|
|
