Maggie and her friends played an online trivia game. Their scores at the end of the game were −1, 3, 0, −2, 1, −3, and 4 points.
a. List the scores in order from greatest to least.
b. Write an inequality to show the relationship between the largest and the smallest value.
c. Write a statement that interprets the inequality you wrote as a statement about the relative position of those numbers on a number line.(2 points)
a. The scores in order from greatest to least are 4, 3, 1, 0, -1, -2, -3.
b. The inequality to show the relationship between the largest and smallest value is 4 > -3.
c. The inequality 4 > -3 means that the number 4 is to the right of the number -3 on a number line.
a. The scores in order from greatest to least are:
4, 3, 1, 0, -1, -2, -3
b. The inequality to show the relationship between the largest and smallest value is:
4 > -3
c. The interpretation of the inequality as a statement about the relative position of those numbers on a number line is:
The number 4 is greater than -3 on the number line.
a. To list the scores in order from greatest to least, you simply need to arrange them in descending order.
The scores in descending order are:
4, 3, 1, 0, -1, -2, -3
b. To write an inequality showing the relationship between the largest and the smallest value, you compare the two values using the less than or equal to symbol (≤).
The inequality is: -3 ≤ 4
c. The inequality -3 ≤ 4 means that the smallest value (-3) is less than or equal to the largest value (4). This can be interpreted as saying that on a number line, the smaller value (-3) is to the left of or at the same position as the larger value (4).