Writing an inequality from a graph - Free math tutor

The video tutorial explains how to derive a compound inequality from a graph. It covers the concept of compound inequalities with two constraints, focusing on the shaded region that represents true values. The tutorial details how to express inequalities for values greater than or equal to -2 and less than 6, using graphical representations like closed and open dots. It emphasizes the importance of understanding the intersection of these inequalities, using 'and' to combine them, resulting in the final expression: X ≥ -2 and X < 6.

What does the shaded region on a graph typically represent in the context of inequalities?

• The boundary of the inequality

• The midpoint of the inequality

• The values that satisfy the inequality

• The values that do not satisfy the inequality

How is the inequality X ≥ -2 represented on a graph?

• With an open dot at -2 and shading to the left

• With a closed dot at -2 and shading to the right

• With an open dot at -2 and shading to the right

• With a closed dot at -2 and shading to the left

What does a closed dot on a graph indicate about the inequality?

• The number is not included in the inequality

• The number is included in the inequality

• The inequality is undefined at that point

• The inequality changes direction at that point

How is the inequality X < 6 represented on a graph?

• With a closed dot at 6 and shading to the left

• With an open dot at 6 and shading to the left

• With a closed dot at 6 and shading to the right

• With an open dot at 6 and shading to the right

What does the 'and' in a compound inequality signify?

• The intersection of two inequalities

• The union of two inequalities

• The exclusion of two inequalities

• The inversion of two inequalities