A teacher is comparing the test scores of two classes. The range of class 1 is 14, and the interquartile range is 7. The range of class 2 is 12, and the interquartile range is 4. Which of the following BEST explains which class has greater variability? Class 1 has more variability because there is a smaller difference between the range and interquartile range than class 2. Class 1 has more variability because both the range and interquartile range are greater than class 2, meaning the data is more spread out. Class 2 has more variability because both the range and interquartile range are less than class 2, meaning the data is closer together. Class 2 has more variability because both the range and interquartile range are less than class 2, meaning the data is more spread out.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

a

step-by-step explanation:

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are