Question

Which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?

Answer 1

$-8-5x+2 > -38\\\\-5x+(-8+2) > -38\\\\-5x-3 > -38\qquad|+3\\\\-5x > -35\qquad|\text{change the signs}\\\\5x < 35\qquad|:5\\\\x < 7$

Answer 2

Answer:

  x  <  6.4  

Step-by-step explanation:

given,

       -8 - 5 x + 2 > -38

           - 5 x - 6 > -38

adding both side by 6

           - 5 x - 6 + 6  > -38 + 6

             - 5 x  > -32

multiplying both side by (-1)

                5 x  <  32        

on multiplying by negative sign the inequality direction changes

                  x  <  6.4  

the graph is shown in the figure attached below. the shaded region shows the required area.