Final answer:
After evaluating each statement, statements a, b, and d are true, as they correctly compare fractions representing different parts of a set of shapes. Statement c is false because the inequality sign is incorrect based on the fractions provided.
Step-by-step explanation:
To determine the truth of the given statements, we need to evaluate each inequality based on the fraction of shapes being compared. Let's review each one:
a. The inequality 6/10 > 2/10 compares the fraction of shapes that are circles to the fraction of shapes that are diamonds. Since 6/10 is greater than 2/10, this statement suggests that there are more circles than diamonds.
b. The inequality 3/10 < 7/10 compares the fraction of unshaded shapes to the fraction of shaded shapes. This is true since 3/10, representing a smaller fraction, would be the unshaded shapes if there were more shaded shapes at 7/10.
c. The inequality 4/10<3/10 compares the part of the set made up of shaded circles to the part of the set made up of shaded diamonds. This statement is false because 4/10 is actually greater than 3/10, so if it were true, it would mean there are fewer shaded circles than shaded diamonds, which is not the case.
d. The inequality 1/10 < 2/10 compares the part of the set made up of unshaded circles to the part of the set made up of shaded circles. This is true, indicating that there are fewer unshaded circles than shaded circles.
It is essential to have a grasp of fraction comparisons and their meanings to accurately determine the validity of these statements. The understanding of inequalities and fractions in different contexts, such as those involving shapes and shading, is a useful skill in mathematics.