There are 25 students in ms. morris's class. she wants to divide the class into 3,4 or 5 equal teams. which number of teams can she have? explain

Step-by-step explanation:

If Ms. Morris wants to divide all 25 students in 3, 4 or 5 equal teams, she to apply a division to know the number of students per group.

If she makes 3-students groups, it would be

Ms. Morris can't make 3-students groups, because she cant divide one student in parts to have equal groups.

If she considers 4-students groups, it would be

The same reason here, she cannot divide a students in parts to have equal groups.

Therefore, she has to make 5-students groups, because

Which means she can make groups of 5 students each, and she would have equal groups.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is