Question

If you were to graph the inequality below on a number line

42≤−7x
Would you use an open circle, or a closed circle?

Would your arrow go to the left or the right?

Answer 1

To graph the inequality 42≤−7x on a number line, use a closed circle at -6 and the arrow goes to the left.

Step-by-step explanation:

To graph the inequality 42≤−7x on a number line, we need to determine whether to use an open circle or a closed circle and whether the arrow should go to the left or the right.

First, let's solve the inequality for x: 42≤−7x

Divide both sides of the inequality by -7, remembering to reverse the inequality sign since we are dividing by a negative number: x ≤ -6

Since the inequality symbol is ≤ (less than or equal to), we use a closed circle at -6 and the arrow goes to the left.