14. If you were to graph the inequality 35<7x

Question

on a number line:(2 points)
Would you use an open or closed circle?

Would your arrow on the number line point to the left or to the right?

Answer 1

To graph the inequality \( 35 < 7x \):

1. First, we can rewrite the inequality in terms of \( x \) by dividing both sides by 7: \[ \frac{35}{7} < x \quad \Rightarrow \quad 5 < x \quad \Rightarrow \quad x > 5 \]

2. When you graph the inequality \( x > 5 \) on a number line:

   • You use an open circle at 5 because 5 is not included in the solution (the inequality is strict and does not have an equal sign).
   • The arrow will point to the right to indicate that the values of \( x \) are greater than 5.

In summary:

• Open circle at 5.
• Arrow points to the right.