Choose the correct description of the graph of the compound inequality

x − 2 > −4 and 3x less than or equal to 15.

a) a number line with an open circle on −2, shading to the left, and a closed circle on 5, shading to the right.

b) a number line with a closed circle on −2, shading to the left, and an open circle on 5, shading to the right

c) a number line with an open circle on −2, a closed circle on 5, and shading in between

d) a number line with a closed circle on −2, an open circle on 5, and shading in between

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above