Which graph represents the solution set for the inequality

Question

16 ≥ -3x + 4 > -17? 

Answer 1

Given inequality is 16 ≥ -3x + 4 > -17

                             => 16 -4 ≥ -3x > -17 -4         [ Subtracting by -4 on both sides ]

                             => 12 ≥ -3x > -21                   

                             => 12/-3 ≤ x < -21/-3             [ Dividing by -3 on both sides ]

                             => -4 ≤ x < 7

Therefore the solution is -4 ≤ x < 7.

Answer 2

Given inequality is 16 ≥ -3x + 4 > -17

                             => 16 -4 ≥ -3x > -17 -4         [ Subtracting by -4 on both sides ]

                             => 12 ≥ -3x > -21                   

                             => 12/-3 ≤ x < -21/-3             [ Dividing by -3 on both sides ]

                             => -4 ≤ x < 7

Therefore the solution is -4 ≤ x < 7.

The graph of the inequality -4 ≤ x < 7 is as follows:

 

Comments

The solution is -4 ≤ x < 7 and its graph is