Without computing each sum, find which is greater, o or e, and by how much equals= o= 3+5+7+9++101 e= 4+6+8+10++102

E will be greater than O

Step-by-step explanation:

O= 3+5+7+9+...+101

E= 4+6+8+10+...+102

  = (3+1)+(5+1)+(9+1)...+(101+1)

Clearly, each term in E is one more than the term in O

so, sum of series in E will be greater than the sum of series in O

Hence, E will be greater than O

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

16

step-by-step explanation: