The correct answer is 4.
2+2=
2
4
6
5
11 answers
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x comes first.
2 and a half and a arrow pointing right
2 and a half and a arrow pointing right
The description you provided indicates a number line with the point 2.5 (or \( \frac{5}{2} \)) marked, and an arrow pointing to the right. This suggests that the values of \( x \) are greater than 2.5.
The inequality can be written as:
\[ x > 2.5 \]
If you want to express it in a more specific way, it could also be represented as:
\[ x > \frac{5}{2} \]
This means that \( x \) takes on all values greater than 2.5.
wrong
I apologize for any confusion. Based on your description of the number line with "2 and a half" and an arrow pointing to the right, this typically represents values greater than \( 2.5 \). Therefore, if the number line shows an open circle at \( 2.5 \) and extends to the right, the correct inequality is:
\[ x > 2.5 \]
If you meant that the arrow is pointing to the left instead, then the appropriate inequality would be:
\[ x < 2.5 \]
Could you please clarify whether the arrow is pointing to the right or left?
it's pointing right
Thank you for the clarification! Since the arrow is pointing to the right from the point 2.5, the correct linear inequality would be:
\[ x \geq 2.5 \]
This means that \( x \) is greater than or equal to 2.5, including the point 2.5 itself. An open circle indicates that 2.5 is not included, while a closed circle indicates that it is included. Since you've specified "pointing right," it suggests that values greater than \( 2.5 \) are included in the solution.
If the point \( 2.5 \) is not included in the solution, it would instead be:
\[ x > 2.5 \]
But since 2.5 is mentioned along with the right arrow, the most appropriate understanding is:
\[ x \geq 2.5 \]
If this matches your intended meaning, great! If not, please let me know how it needs to be adjusted.
now it's 0.25 and pointing to the left
Thank you for the update! If the number line shows the point \( 0.25 \) (or \( \frac{1}{4} \)) marked, and an arrow pointing to the left, this indicates that \( x \) includes all values less than \( 0.25 \).
The correct linear inequality for this graph would be:
\[ x < 0.25 \]
This means that \( x \) can take on any value less than \( 0.25 \). If I can help with anything else, please let me know!
Solve -8x > 24
x < -3
x < 3
x > 3
x > -3
x < -3
x < 3
x > 3
x > -3
To solve the inequality \(-8x > 24\), follow these steps:
-
Divide both sides by -8. Remember that when dividing by a negative number, you must reverse the inequality sign.
\[ x < \frac{24}{-8} \]
-
Simplifying the right side gives:
\[ x < -3 \]
So the solution to the inequality \(-8x > 24\) is:
\[ x < -3 \]
Thus the correct answer from your options is:
x < -3.