If you were to graph the inequality 35<7x

Question

on a number line:

Answer 1

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 \( 5 \).