Comparing Inequalities Using Graphs

The video tutorial explains how to compare inequalities using graphs. It covers graphing inequalities like g > 30 and 30 > g, highlighting common misunderstandings such as the arrow shortcut. The tutorial also explores similar inequalities like h < 3 and 3 > h, emphasizing the importance of understanding inequality signs and graph representation.

How do you represent the inequality 'g is greater than 30' on a graph?

• With an open circle at 30, shading to the left

• With a closed circle at 30, shading to the left

• With an open circle at 30, shading to the right

• With a closed circle at 30, shading to the right

What is a common mistake when using the 'arrow trick' for graphing inequalities?

• It always points in the correct direction

• It never points in the correct direction

• It only works for equalities

• It sometimes points in the wrong direction

What do the inequalities 'g is greater than 30' and '30 is greater than g' have in common?

• They both have an open circle at 30

• They both shade the graph to the right

• They both include the number 30 in the graph

• They both shade the graph to the left

How does the order of terms in an inequality affect the graph?

• It determines the size of the circle

• It affects the direction of shading

• It changes the numbers on the graph

• It has no effect on the graph

In the inequality 'h is less than 3', how is the number 3 represented on the graph?

• With a closed circle

• With a shaded circle

• With an open circle

• With no circle

What is the key difference in graphing 'h is less than 3' and '3 is greater than h'?

• The color of the graph

• The size of the graph

• The inclusion of 3 in the graph

• The direction of shading

In the inequality '3 is greater than h', how is the number 3 represented on the graph?

• With no circle

• With a shaded circle

• With an open circle

• With a closed circle