Question

Match each inequality with its solution.

Answer 1

Match Term Definition
seven plus eight n plus three minus two n is greater than four A) n is greater than negative one
nine n plus eight minus four n plus seven is less than five B) n is less than negative one
eleven n plus six minus fifteen n is less than fourteen C) n is greater than negative two
two n plus nine minus four n is greater than eleven D) n is less than negative two

Answer 2

7 + 8n + 3 - 2n > 4 -- combine like terms
6n + 10 > 4
6n > 4 - 10
6n > -6
n > -1 ======>A

9n + 8 - 4n + 7 < 5
5n + 15 < 5
5n < 5 - 15
5n < -10
n < -2 ======>D

11n + 6 - 15n < 14
-4n + 6 < 14
-4n < 14 - 6
-4n < 8
n > -2 ======> C

2n + 9 - 4n > 11
-2n + 9 > 11
-2n > 11 - 9
-2n > 2
n < -1 ======> B