Question
If you were to graph the inequality 35<7x
on a number line:
on a number line:
Answers
GPT-4o mini
To graph the inequality \( 35 < 7x \) on a number line, follow these steps:
1. **Solve the Inequality**:
To isolate \( x \), divide both sides of the inequality by \( 7 \):
\[
\frac{35}{7} < x
\]
Simplifying gives:
\[
5 < x
\]
or equivalently:
\[
x > 5
\]
2. **Graph the Inequality**:
- Draw a number line.
- Locate the point \( 5 \) on the number line.
- Since the inequality is strictly greater than (not \( \geq \)), you will place an open circle at \( 5 \) to indicate that \( 5 \) is not included in the solution.
- Shade the line to the right of \( 5 \) to indicate all the numbers greater than \( 5 \).
The final result will show an open circle at \( 5 \) with a shaded line extending to the right, representing all numbers greater than \( 5 \).
1. **Solve the Inequality**:
To isolate \( x \), divide both sides of the inequality by \( 7 \):
\[
\frac{35}{7} < x
\]
Simplifying gives:
\[
5 < x
\]
or equivalently:
\[
x > 5
\]
2. **Graph the Inequality**:
- Draw a number line.
- Locate the point \( 5 \) on the number line.
- Since the inequality is strictly greater than (not \( \geq \)), you will place an open circle at \( 5 \) to indicate that \( 5 \) is not included in the solution.
- Shade the line to the right of \( 5 \) to indicate all the numbers greater than \( 5 \).
The final result will show an open circle at \( 5 \) with a shaded line extending to the right, representing all numbers greater than \( 5 \).