Question

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

Answer 1

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