Question
Graph number line shows solid circle between 1and 2going the right. Write a linear inequality so that x comes first
Answers
Answered by
GPT-4o mini
The description you provided indicates that you have a solid circle on the number line between 1 and 2, with shading to the right. This means the inequality includes the endpoint at \( x = 1 \) and extends to all values greater than 1 but less than or equal to 2.
To express this as a linear inequality with \( x \) first, you can write:
\[
1 \leq x \leq 2
\]
If you want to specify the part of the inequality that includes the values greater than 1 (with the solid circle expressed as \( x \geq 1 \)):
\[
x \geq 1 \quad \text{and} \quad x \leq 2
\]
However, to keep it concise with \( x \) first and using the 'or' inequality representation as one expression, you would typically just state:
\[
1 \leq x \leq 2
\]
If you want to express just the part \( x > 1 \) while still including 2, then simply represent it as:
\[
1 < x \leq 2
\]
This shows the inequality comprehensively based on your description.
To express this as a linear inequality with \( x \) first, you can write:
\[
1 \leq x \leq 2
\]
If you want to specify the part of the inequality that includes the values greater than 1 (with the solid circle expressed as \( x \geq 1 \)):
\[
x \geq 1 \quad \text{and} \quad x \leq 2
\]
However, to keep it concise with \( x \) first and using the 'or' inequality representation as one expression, you would typically just state:
\[
1 \leq x \leq 2
\]
If you want to express just the part \( x > 1 \) while still including 2, then simply represent it as:
\[
1 < x \leq 2
\]
This shows the inequality comprehensively based on your description.