Question

Someone :) is there anyone know what is the answer?

Answer 1

answers are below

Explanation:

a. -6 ≤ 3x < 15

steps in order to solve:

-6 ≤ 3x

= -6/3 ≤ 3x/3

= -2 ≤ x

3x < 15

= 3x/3 < 15/3

= x < 5

=> -2 ≤ x < 5

b. -3 < 2x - 1 < 7

steps in order to solve:

-3 < 2x - 1

= 1 - 3 < 2x - 1 + 1

= -2 < 2x

= -2/2 < 2x / 2

= -1 < x

2x - 1 < 7

= 2x - 1 + 1 < 7 + 1

= 2x < 8

= 2x/2 < 8/2

= x < 4

=> -1 < x < 4

c. 7 < -3n + 1 ≤ 13

steps in order to solve:

7 < -3n + 1

= -1 +7 < -3n + 1 - 1

= 6 < -3n

= 6/-3 < -3n/-3

= -2 > n

-3n + 1 ≤ 13

= -3n + 1 - 1 ≤ 13 -1

= -3n < 12

= -3n/-3 < 12/-3

= n > -4

=> -4 < n < -2

graphs are below.

hope this helps and is right :)