Which number line would not describe a situation where the midpoint between points a and b is 2 1/2?

Option C

Step-by-step explanation:

We know that in a number line numbers all (rational preferably) would be marked on a line in a chronological order.

Mid point of A and B would be the average value of A and B.

Here given that mid point is 2 1/2

This implies average of A and B is 2 1/2

Or total of A and B should be 5

Out of 4 options let us check which gives total 5.

A) (2,3) .. Total is 5

B) (-4,9)..Total is again 5

C) (-4,8)..Total is not 5 but 4

D) (-0.75, 5,75) .. Total is 5

So out of these 4 options only C would not describe a situation where the midpoint between points A and B is 2 1/2

n

step-by-step explanation:

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