Evaluate the replacement set for the following equation 2n - 3 < 9. replacement set : n = {2, 5, 0}

n = {2, 5, 0} holds true for 2n - 3 < 9

Solution:

Replacement set is the set of values that may be substituted for the variable.

Plug in each value from the replacement set and evaluate both sides of the inequality

If the inequality is true for a certain value, that value belongs in the solution set.

Given equation is:

2n - 3 < 9

Substitute n = 2

2(2) - 3 < 9

4 - 3 < 9

1 < 9

1 is less than 9 is true

Thus n = 2 is a solution to equation

Substitute n = 5

2(5) - 3 < 9

10 - 3 < 9

7 < 9

7 is less than 9 is true

Thus n = 5 is a solution to equation

Substitute n = 0

2(0) - 3 < 9

0 - 3 < 9

-3 < 9

-3 is less than 9 is true

Thus n = -3 is a solution to equation

answ9x x 3=

step-by-step explanation:

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